997526400 has 192 divisors, whose sum is σ = 3538783920. Its totient is φ = 245514240.

The previous prime is 997526389. The next prime is 997526419. The reversal of 997526400 is 4625799.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120804 + ... + 128796.

Almost surely, 2^997526400 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 997526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769391960).

997526400 is an abundant number, since it is smaller than the sum of its proper divisors (2541257520).

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

997526400 is a wasteful number, since it uses less digits than its factorization.

997526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 997526400 is about 31583.6413353495. The cubic root of 997526400 is about 999.1747858756.

The spelling of 997526400 in words is "nine hundred ninety-seven million, five hundred twenty-six thousand, four hundred".