897590400 has 576 divisors, whose sum is σ = 3662354880. Its totient is φ = 189112320.

The previous prime is 897590371. The next prime is 897590411. The reversal of 897590400 is 4095798.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24259182 + ... + 24259218.

It is an arithmetic number, because the mean of its divisors is an integer number (6358255).

Almost surely, 2^897590400 is an apocalyptic number.

897590400 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 897590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831177440).

897590400 is an abundant number, since it is smaller than the sum of its proper divisors (2764764480).

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

897590400 is a wasteful number, since it uses less digits than its factorization.

897590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 897590400 is about 29959.8130835291. The cubic root of 897590400 is about 964.6269688515.

The spelling of 897590400 in words is "eight hundred ninety-seven million, five hundred ninety thousand, four hundred".