608978400 has 72 divisors (see below), whose sum is σ = 1982232504. Its totient is φ = 162393600.

The previous prime is 608978399. The next prime is 608978411. The reversal of 608978400 is 4879806.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124471 + ... + 129270.

It is an arithmetic number, because the mean of its divisors is an integer number (27531007).

Almost surely, 2^608978400 is an apocalyptic number.

608978400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

608978400 is an abundant number, since it is smaller than the sum of its proper divisors (1373254104).

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

608978400 is a wasteful number, since it uses less digits than its factorization.

608978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253764 (or 253751 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 608978400 is about 24677.4877165404. The cubic root of 608978400 is about 847.6188954417.

The spelling of 608978400 in words is "six hundred eight million, nine hundred seventy-eight thousand, four hundred".