399792672 has 240 divisors, whose sum is σ = 1279932192. Its totient is φ = 121927680.

The previous prime is 399792671. The next prime is 399792683. The reversal of 399792672 is 276297993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (399792671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1894647 + ... + 1894857.

Almost surely, 2^399792672 is an apocalyptic number.

399792672 is a gapful number since it is divisible by the number (32) 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 399792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639966096).

399792672 is an abundant number, since it is smaller than the sum of its proper divisors (880139520).

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

399792672 is a wasteful number, since it uses less digits than its factorization.

399792672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 399792672 is about 19994.8161281868. The cubic root of 399792672 is about 736.6789772472.

It can be divided in two parts, 3997 and 92672, that added together give a palindrome (96669).

The spelling of 399792672 in words is "three hundred ninety-nine million, seven hundred ninety-two thousand, six hundred seventy-two".