391862016 has 432 divisors, whose sum is σ = 1468000800. Its totient is φ = 102187008.

The previous prime is 391861991. The next prime is 391862021. The reversal of 391862016 is 610268193.

391862016 is a `hidden beast` number, since 3 + 9 + 18 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 4402900 + ... + 4402988.

It is an arithmetic number, because the mean of its divisors is an integer number (3398150).

Almost surely, 2^391862016 is an apocalyptic number.

391862016 is a gapful number since it is divisible by the number (36) 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 391862016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734000400).

391862016 is an abundant number, since it is smaller than the sum of its proper divisors (1076138784).

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

391862016 is a wasteful number, since it uses less digits than its factorization.

391862016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 391862016 is about 19795.5049443049. The cubic root of 391862016 is about 731.7752602197.

The spelling of 391862016 in words is "three hundred ninety-one million, eight hundred sixty-two thousand, sixteen".