397912461120 has 784 divisors, whose sum is σ = 1513850556240. Its totient is φ = 99230220288.

The previous prime is 397912461083. The next prime is 397912461151. The reversal of 397912461120 is 21164219793.

397912461120 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 1 + 2 + 4 + 611 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10660149504 + 387252311616 = 103248^2 + 622296^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1066789254 + ... + 1066789626.

Almost surely, 2^397912461120 is an apocalyptic number.

397912461120 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 397912461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756925278120).

397912461120 is an abundant number, since it is smaller than the sum of its proper divisors (1115938095120).

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

397912461120 is a wasteful number, since it uses less digits than its factorization.

397912461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 397912461120 in words is "three hundred ninety-seven billion, nine hundred twelve million, four hundred sixty-one thousand, one hundred twenty".