1215452880 has 120 divisors (see below), whose sum is σ = 4089369960. Its totient is φ = 323527680.

The previous prime is 1215452879. The next prime is 1215452881. The reversal of 1215452880 is 882545121.

1215452880 is a `hidden beast` number, since 1 + 2 + 1 + 54 + 528 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1215452879) and next prime (1215452881).

It can be written as a sum of positive squares in 4 ways, for example, as 81649296 + 1133803584 = 9036^2 + 33672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215452881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509290 + ... + 511670.

It is an arithmetic number, because the mean of its divisors is an integer number (34078083).

Almost surely, 2^1215452880 is an apocalyptic number.

1215452880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1215452880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044684980).

1215452880 is an abundant number, since it is smaller than the sum of its proper divisors (2873917080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1215452880 is a wasteful number, since it uses less digits than its factorization.

1215452880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1215452880 is about 34863.3457946882. The cubic root of 1215452880 is about 1067.2005547823.

The spelling of 1215452880 in words is "one billion, two hundred fifteen million, four hundred fifty-two thousand, eight hundred eighty".