397296900 has 720 divisors, whose sum is σ = 1764470400. Its totient is φ = 76204800.

The previous prime is 397296883. The next prime is 397296937. The reversal of 397296900 is 9692793.

It is a super-2 number, since 2×397296900² = 315689653499220000, which contains 22 as substring.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 30561294 + ... + 30561306.

Almost surely, 2^397296900 is an apocalyptic number.

397296900 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 397296900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882235200).

397296900 is an abundant number, since it is smaller than the sum of its proper divisors (1367173500).

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

397296900 is a wasteful number, since it uses less digits than its factorization.

397296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 397296900 is about 19932.3079446410. The cubic root of 397296900 is about 735.1428293856.

The spelling of 397296900 in words is "three hundred ninety-seven million, two hundred ninety-six thousand, nine hundred".