391974400 has 120 divisors (see below), whose sum is σ = 983356704. Its totient is φ = 154828800.

The previous prime is 391974397. The next prime is 391974403. The reversal of 391974400 is 4479193.

It is an interprime number because it is at equal distance from previous prime (391974397) and next prime (391974403).

It is a self number, because there is not a number n which added to its sum of digits gives 391974400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391974403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446265 + ... + 1446535.

Almost surely, 2^391974400 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 391974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491678352).

391974400 is an abundant number, since it is smaller than the sum of its proper divisors (591382304).

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

391974400 is a wasteful number, since it uses less digits than its factorization.

391974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 391974400 is about 19798.3433650394. The cubic root of 391974400 is about 731.8452099867.

The spelling of 391974400 in words is "three hundred ninety-one million, nine hundred seventy-four thousand, four hundred".