397935120 has 240 divisors, whose sum is σ = 1382161536. Its totient is φ = 94617600.

The previous prime is 397935101. The next prime is 397935137. The reversal of 397935120 is 21539793.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061744 + ... + 2061936.

Almost surely, 2^397935120 is an apocalyptic number.

397935120 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 397935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691080768).

397935120 is an abundant number, since it is smaller than the sum of its proper divisors (984226416).

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

397935120 is a wasteful number, since it uses less digits than its factorization.

397935120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 397935120 is about 19948.3112067162. The cubic root of 397935120 is about 735.5362646628.

The spelling of 397935120 in words is "three hundred ninety-seven million, nine hundred thirty-five thousand, one hundred twenty".