397762560 has 336 divisors, whose sum is σ = 1502779824. Its totient is φ = 96731136.

The previous prime is 397762559. The next prime is 397762567. The reversal of 397762560 is 65267793.

397762560 is a `hidden beast` number, since 397 + 7 + 6 + 256 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397762567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792279 + ... + 4792361.

It is an arithmetic number, because the mean of its divisors is an integer number (4472559).

Almost surely, 2^397762560 is an apocalyptic number.

397762560 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 397762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751389912).

397762560 is an abundant number, since it is smaller than the sum of its proper divisors (1105017264).

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

397762560 is a wasteful number, since it uses less digits than its factorization.

397762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 397762560 is about 19943.9855595616. The cubic root of 397762560 is about 735.4299303365.

The spelling of 397762560 in words is "three hundred ninety-seven million, seven hundred sixty-two thousand, five hundred sixty".