97460900 has 72 divisors (see below), whose sum is σ = 220819200. Its totient is φ = 37296000.

The previous prime is 97460897. The next prime is 97460917. The reversal of 97460900 is 906479.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 461795 + ... + 462005.

Almost surely, 2^97460900 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 97460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110409600).

97460900 is an abundant number, since it is smaller than the sum of its proper divisors (123358300).

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

97460900 is a wasteful number, since it uses less digits than its factorization.

97460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 97460900 is about 9872.2287250651. The cubic root of 97460900 is about 460.1966707858.

The spelling of 97460900 in words is "ninety-seven million, four hundred sixty thousand, nine hundred".