397084800 has 384 divisors, whose sum is σ = 1578470400. Its totient is φ = 85708800.

The previous prime is 397084771. The next prime is 397084817. The reversal of 397084800 is 8480793.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1276645 + ... + 1276955.

It is an arithmetic number, because the mean of its divisors is an integer number (4110600).

Almost surely, 2^397084800 is an apocalyptic number.

397084800 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 397084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789235200).

397084800 is an abundant number, since it is smaller than the sum of its proper divisors (1181385600).

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

397084800 is a wasteful number, since it uses less digits than its factorization.

397084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 397084800 is about 19926.9867265475. The cubic root of 397084800 is about 735.0119855512.

The spelling of 397084800 in words is "three hundred ninety-seven million, eighty-four thousand, eight hundred".