312418080 has 192 divisors, whose sum is σ = 1177787520. Its totient is φ = 76889088.

The previous prime is 312418069. The next prime is 312418081. The reversal of 312418080 is 80814213.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312418081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53379 + ... + 58941.

It is an arithmetic number, because the mean of its divisors is an integer number (6134310).

Almost surely, 2^312418080 is an apocalyptic number.

312418080 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 312418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588893760).

312418080 is an abundant number, since it is smaller than the sum of its proper divisors (865369440).

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

312418080 is a wasteful number, since it uses less digits than its factorization.

312418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 312418080 is about 17675.3523302932. The cubic root of 312418080 is about 678.5451016088.

The spelling of 312418080 in words is "three hundred twelve million, four hundred eighteen thousand, eighty".