1215456000 has 288 divisors, whose sum is σ = 4407975936. Its totient is φ = 294400000.

The previous prime is 1215455977. The next prime is 1215456007. The reversal of 1215456000 is 6545121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215456007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055425 + ... + 1056575.

It is an arithmetic number, because the mean of its divisors is an integer number (15305472).

Almost surely, 2^1215456000 is an apocalyptic number.

1215456000 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 1215456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203987968).

1215456000 is an abundant number, since it is smaller than the sum of its proper divisors (3192519936).

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

1215456000 is a wasteful number, since it uses less digits than its factorization.

1215456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1215456000 is about 34863.3905407951. The cubic root of 1215456000 is about 1067.2014679297.

The spelling of 1215456000 in words is "one billion, two hundred fifteen million, four hundred fifty-six thousand".