397441824 has 96 divisors (see below), whose sum is σ = 1159893504. Its totient is φ = 118333440.

The previous prime is 397441799. The next prime is 397441831. The reversal of 397441824 is 428144793.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33552 + ... + 43824.

It is an arithmetic number, because the mean of its divisors is an integer number (12082224).

Almost surely, 2^397441824 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 397441824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579946752).

397441824 is an abundant number, since it is smaller than the sum of its proper divisors (762451680).

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

397441824 is a wasteful number, since it uses less digits than its factorization.

397441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330 (or 10322 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 397441824 is about 19935.9430175751. The cubic root of 397441824 is about 735.2322057753.

The spelling of 397441824 in words is "three hundred ninety-seven million, four hundred forty-one thousand, eight hundred twenty-four".