397779600 has 360 divisors, whose sum is σ = 1435011328. Its totient is φ = 94003200.

The previous prime is 397779523. The next prime is 397779619. The reversal of 397779600 is 6977793.

It is a super-2 number, since 2×397779600² = 316457220352320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 397779600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10750782 + ... + 10750818.

Almost surely, 2^397779600 is an apocalyptic number.

397779600 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 397779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717505664).

397779600 is an abundant number, since it is smaller than the sum of its proper divisors (1037231728).

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

397779600 is a wasteful number, since it uses less digits than its factorization.

397779600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 48.

The square root of 397779600 is about 19944.4127514450. The cubic root of 397779600 is about 735.4404320347.

The spelling of 397779600 in words is "three hundred ninety-seven million, seven hundred seventy-nine thousand, six hundred".