912752400 has 540 divisors, whose sum is σ = 3673126512. Its totient is φ = 193052160.

The previous prime is 912752383. The next prime is 912752441. The reversal of 912752400 is 4257219.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21226779 + ... + 21226821.

Almost surely, 2^912752400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 912752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836563256).

912752400 is an abundant number, since it is smaller than the sum of its proper divisors (2760374112).

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

912752400 is a wasteful number, since it uses less digits than its factorization.

912752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 912752400 is about 30211.7923996575. The cubic root of 912752400 is about 970.0281282806.

The spelling of 912752400 in words is "nine hundred twelve million, seven hundred fifty-two thousand, four hundred".