316401984 has 224 divisors, whose sum is σ = 1024128000. Its totient is φ = 95344128.

The previous prime is 316401973. The next prime is 316402033. The reversal of 316401984 is 489104613.

316401984 is a `hidden beast` number, since 3 + 1 + 640 + 1 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×316401984² = 200220430958272512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754927 + ... + 755345.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2^316401984 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 316401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

316401984 is an abundant number, since it is smaller than the sum of its proper divisors (707726016).

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

316401984 is a wasteful number, since it uses less digits than its factorization.

316401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 316401984 is about 17787.6919244741. The cubic root of 316401984 is about 681.4171598444.

The spelling of 316401984 in words is "three hundred sixteen million, four hundred one thousand, nine hundred eighty-four".