897958400 has 180 divisors, whose sum is σ = 2330334666. Its totient is φ = 342835200.

The previous prime is 897958393. The next prime is 897958441. The reversal of 897958400 is 4859798.

It can be written as a sum of positive squares in 3 ways, for example, as 691058944 + 206899456 = 26288^2 + 14384^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12300764 + ... + 12300836.

Almost surely, 2^897958400 is an apocalyptic number.

897958400 is a gapful number since it is divisible by the number (80) 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 897958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165167333).

897958400 is an abundant number, since it is smaller than the sum of its proper divisors (1432376266).

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

897958400 is an equidigital number, since it uses as much as digits as its factorization.

897958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 897958400 is about 29965.9540145145. The cubic root of 897958400 is about 964.7587788704.

The spelling of 897958400 in words is "eight hundred ninety-seven million, nine hundred fifty-eight thousand, four hundred".