97478304 has 96 divisors (see below), whose sum is σ = 319044096. Its totient is φ = 25317120.

The previous prime is 97478299. The next prime is 97478321. The reversal of 97478304 is 40387479.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 799 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (3323376).

Almost surely, 2^97478304 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 97478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522048).

97478304 is an abundant number, since it is smaller than the sum of its proper divisors (221565792).

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

97478304 is a wasteful number, since it uses less digits than its factorization.

97478304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13218 (or 13210 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 97478304 is about 9873.1101482765. The cubic root of 97478304 is about 460.2240622360.

The spelling of 97478304 in words is "ninety-seven million, four hundred seventy-eight thousand, three hundred four".