397036800 has 324 divisors, whose sum is σ = 1455534444. Its totient is φ = 103219200.

The previous prime is 397036799. The next prime is 397036807. The reversal of 397036800 is 8630793.

It can be written as a sum of positive squares in 6 ways, for example, as 192432384 + 204604416 = 13872^2 + 14304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397036807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3513544 + ... + 3513656.

Almost surely, 2^397036800 is an apocalyptic number.

397036800 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 397036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727767222).

397036800 is an abundant number, since it is smaller than the sum of its proper divisors (1058497644).

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

397036800 is a wasteful number, since it uses less digits than its factorization.

397036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 397036800 is about 19925.7822933003. The cubic root of 397036800 is about 734.9823680346.

The spelling of 397036800 in words is "three hundred ninety-seven million, thirty-six thousand, eight hundred".