1215042400 has 432 divisors, whose sum is σ = 3774133440. Its totient is φ = 377395200.

The previous prime is 1215042397. The next prime is 1215042461. The reversal of 1215042400 is 42405121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28256779 + ... + 28256821.

It is an arithmetic number, because the mean of its divisors is an integer number (8736420).

Almost surely, 2^1215042400 is an apocalyptic number.

1215042400 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 1215042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887066720).

1215042400 is an abundant number, since it is smaller than the sum of its proper divisors (2559091040).

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

1215042400 is a wasteful number, since it uses less digits than its factorization.

1215042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1215042400 is about 34857.4583123899. The cubic root of 1215042400 is about 1067.0804037356.

Adding to 1215042400 its reverse (42405121), we get a palindrome (1257447521).

It can be divided in two parts, 121504 and 2400, that added together give a square (123904 = 352²).

The spelling of 1215042400 in words is "one billion, two hundred fifteen million, forty-two thousand, four hundred".