608294400 has 480 divisors, whose sum is σ = 2403084288. Its totient is φ = 132710400.

The previous prime is 608294399. The next prime is 608294411. The reversal of 608294400 is 4492806.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8332764 + ... + 8332836.

Almost surely, 2^608294400 is an apocalyptic number.

608294400 is a gapful number since it is divisible by the number (60) 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 608294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201542144).

608294400 is an abundant number, since it is smaller than the sum of its proper divisors (1794789888).

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

608294400 is a wasteful number, since it uses less digits than its factorization.

608294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 608294400 is about 24663.6250376947. The cubic root of 608294400 is about 847.3014301452.

The spelling of 608294400 in words is "six hundred eight million, two hundred ninety-four thousand, four hundred".