397532912400 has 480 divisors, whose sum is σ = 1530716472320. Its totient is φ = 97407774720.

The previous prime is 397532912339. The next prime is 397532912401. The reversal of 397532912400 is 4219235793.

397532912400 is a `hidden beast` number, since 3 + 9 + 7 + 532 + 91 + 24 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (397532912401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31302852 + ... + 31315548.

Almost surely, 2^397532912400 is an apocalyptic number.

397532912400 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 397532912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765358236160).

397532912400 is an abundant number, since it is smaller than the sum of its proper divisors (1133183559920).

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

397532912400 is a wasteful number, since it uses less digits than its factorization.

397532912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 397532912400 in words is "three hundred ninety-seven billion, five hundred thirty-two million, nine hundred twelve thousand, four hundred".