391601952 has 240 divisors, whose sum is σ = 1334817792. Its totient is φ = 110315520.

The previous prime is 391601941. The next prime is 391601963. The reversal of 391601952 is 259106193.

It is an interprime number because it is at equal distance from previous prime (391601941) and next prime (391601963).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2050177 + ... + 2050367.

Almost surely, 2^391601952 is an apocalyptic number.

391601952 is a gapful number since it is divisible by the number (32) 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 391601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667408896).

391601952 is an abundant number, since it is smaller than the sum of its proper divisors (943215840).

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

391601952 is a wasteful number, since it uses less digits than its factorization.

391601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 391601952 is about 19788.9350900952. The cubic root of 391601952 is about 731.6133405395.

The spelling of 391601952 in words is "three hundred ninety-one million, six hundred one thousand, nine hundred fifty-two".