897350400 has 324 divisors, whose sum is σ = 3332819672. Its totient is φ = 238878720.

The previous prime is 897350369. The next prime is 897350401. The reversal of 897350400 is 4053798.

897350400 is a `hidden beast` number, since 89 + 73 + 504 + 0 + 0 = 666.

897350400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897350401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554912 + ... + 1555488.

Almost surely, 2^897350400 is an apocalyptic number.

897350400 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 897350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666409836).

897350400 is an abundant number, since it is smaller than the sum of its proper divisors (2435469272).

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

897350400 is an equidigital number, since it uses as much as digits as its factorization.

897350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 897350400 is about 29955.8074503092. The cubic root of 897350400 is about 964.5409863850.

The spelling of 897350400 in words is "eight hundred ninety-seven million, three hundred fifty thousand, four hundred".