397545408 has 280 divisors, whose sum is σ = 1347624432. Its totient is φ = 114794496.

The previous prime is 397545383. The next prime is 397545419. The reversal of 397545408 is 804545793.

397545408 is a `hidden beast` number, since 39 + 75 + 4 + 540 + 8 = 666.

It is a congruent number.

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, 1145491 + ... + 1145837.

Almost surely, 2^397545408 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 397545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673812216).

397545408 is an abundant number, since it is smaller than the sum of its proper divisors (950079024).

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

397545408 is a wasteful number, since it uses less digits than its factorization.

397545408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 397545408 is about 19938.5407690733. The cubic root of 397545408 is about 735.2960739718.

The spelling of 397545408 in words is "three hundred ninety-seven million, five hundred forty-five thousand, four hundred eight".