399630672 has 400 divisors, whose sum is σ = 1440384000. Its totient is φ = 106686720.

The previous prime is 399630619. The next prime is 399630677. The reversal of 399630672 is 276036993.

399630672 is a `hidden beast` number, since 3 + 9 + 9 + 630 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399630677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12891297 + ... + 12891327.

It is an arithmetic number, because the mean of its divisors is an integer number (3600960).

Almost surely, 2^399630672 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 399630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192000).

399630672 is an abundant number, since it is smaller than the sum of its proper divisors (1040753328).

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

399630672 is a wasteful number, since it uses less digits than its factorization.

399630672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 399630672 is about 19990.7646677159. The cubic root of 399630672 is about 736.5794605678.

The spelling of 399630672 in words is "three hundred ninety-nine million, six hundred thirty thousand, six hundred seventy-two".