312238080 has 504 divisors, whose sum is σ = 1359657936. Its totient is φ = 64880640.

The previous prime is 312238067. The next prime is 312238103. The reversal of 312238080 is 80832213.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28385275 + ... + 28385285.

It is an arithmetic number, because the mean of its divisors is an integer number (2697734).

Almost surely, 2^312238080 is an apocalyptic number.

312238080 is a gapful number since it is divisible by the number (30) 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 312238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679828968).

312238080 is an abundant number, since it is smaller than the sum of its proper divisors (1047419856).

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

312238080 is a wasteful number, since it uses less digits than its factorization.

312238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 312238080 is about 17670.2597603997. The cubic root of 312238080 is about 678.4147617531.

The spelling of 312238080 in words is "three hundred twelve million, two hundred thirty-eight thousand, eighty".