399077952 has 252 divisors, whose sum is σ = 1335334896. Its totient is φ = 104832000.

The previous prime is 399077951. The next prime is 399077963. The reversal of 399077952 is 259770993.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 399077895 and 399077904.

It is not an unprimeable number, because it can be changed into a prime (399077951) 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 35 ways as a sum of consecutive naturals, for example, 1589827 + ... + 1590077.

It is an arithmetic number, because the mean of its divisors is an integer number (5298948).

Almost surely, 2^399077952 is an apocalyptic number.

399077952 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 399077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667667448).

399077952 is an abundant number, since it is smaller than the sum of its proper divisors (936256944).

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

399077952 is a wasteful number, since it uses less digits than its factorization.

399077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 51.

The square root of 399077952 is about 19976.9355007218. The cubic root of 399077952 is about 736.2397218489.

The spelling of 399077952 in words is "three hundred ninety-nine million, seventy-seven thousand, nine hundred fifty-two".