397262880 has 480 divisors, whose sum is σ = 1668522240. Its totient is φ = 87091200.

The previous prime is 397262857. The next prime is 397262891. The reversal of 397262880 is 88262793.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630805 + ... + 2630955.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2^397262880 is an apocalyptic number.

397262880 is a gapful number since it is divisible by the number (30) 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 397262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

397262880 is an abundant number, since it is smaller than the sum of its proper divisors (1271259360).

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

397262880 is a wasteful number, since it uses less digits than its factorization.

397262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 397262880 is about 19931.4545379909. The cubic root of 397262880 is about 735.1218456890.

The spelling of 397262880 in words is "three hundred ninety-seven million, two hundred sixty-two thousand, eight hundred eighty".