399642048 has 252 divisors, whose sum is σ = 1323507640. Its totient is φ = 114296832.

The previous prime is 399642041. The next prime is 399642059. The reversal of 399642048 is 840246993.

It is a junction number, because it is equal to n+sod(n) for n = 399641994 and 399642012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399642041) 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, 7540390 + ... + 7540442.

Almost surely, 2^399642048 is an apocalyptic number.

399642048 is a gapful number since it is divisible by the number (38) 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 399642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661753820).

399642048 is an abundant number, since it is smaller than the sum of its proper divisors (923865592).

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

399642048 is a wasteful number, since it uses less digits than its factorization.

399642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 399642048 is about 19991.0491970782. The cubic root of 399642048 is about 736.5864497281.

The spelling of 399642048 in words is "three hundred ninety-nine million, six hundred forty-two thousand, forty-eight".