397777600 has 168 divisors, whose sum is σ = 1083399408. Its totient is φ = 142540800.

The previous prime is 397777573. The next prime is 397777603. The reversal of 397777600 is 6777793.

It is not an unprimeable number, because it can be changed into a prime (397777603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707084 + ... + 1707316.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^397777600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541699704).

397777600 is an abundant number, since it is smaller than the sum of its proper divisors (685621808).

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

397777600 is a wasteful number, since it uses less digits than its factorization.

397777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 46.

The square root of 397777600 is about 19944.3626120265. The cubic root of 397777600 is about 735.4391994565.

The spelling of 397777600 in words is "three hundred ninety-seven million, seven hundred seventy-seven thousand, six hundred".