397417920 has 224 divisors, whose sum is σ = 1351848960. Its totient is φ = 98672640.

The previous prime is 397417907. The next prime is 397417921. The reversal of 397417920 is 29714793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397417921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905061 + ... + 905499.

It is an arithmetic number, because the mean of its divisors is an integer number (6035040).

Almost surely, 2^397417920 is an apocalyptic number.

397417920 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 397417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675924480).

397417920 is an abundant number, since it is smaller than the sum of its proper divisors (954431040).

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

397417920 is a wasteful number, since it uses less digits than its factorization.

397417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 397417920 is about 19935.3434883877. The cubic root of 397417920 is about 735.2174653849.

The spelling of 397417920 in words is "three hundred ninety-seven million, four hundred seventeen thousand, nine hundred twenty".