917120400 has 480 divisors, whose sum is σ = 3613483008. Its totient is φ = 194304000.

The previous prime is 917120381. The next prime is 917120411. The reversal of 917120400 is 4021719.

It is a super-2 number, since 2×917120400² = 1682219656192320000, which contains 22 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9080350 + ... + 9080450.

Almost surely, 2^917120400 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 917120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806741504).

917120400 is an abundant number, since it is smaller than the sum of its proper divisors (2696362608).

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

917120400 is a wasteful number, since it uses less digits than its factorization.

917120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 917120400 is about 30283.9957733454. The cubic root of 917120400 is about 971.5730313258.

The spelling of 917120400 in words is "nine hundred seventeen million, one hundred twenty thousand, four hundred".