399558240 has 144 divisors (see below), whose sum is σ = 1369590768. Its totient is φ = 106073088.

The previous prime is 399558209. The next prime is 399558281. The reversal of 399558240 is 42855993.

399558240 is a `hidden beast` number, since 3 + 99 + 558 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 421447 + ... + 422393.

It is an arithmetic number, because the mean of its divisors is an integer number (9511047).

Almost surely, 2^399558240 is an apocalyptic number.

399558240 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 399558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684795384).

399558240 is an abundant number, since it is smaller than the sum of its proper divisors (970032528).

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

399558240 is a wasteful number, since it uses less digits than its factorization.

399558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 399558240 is about 19988.9529490666. The cubic root of 399558240 is about 736.5349568541.

The spelling of 399558240 in words is "three hundred ninety-nine million, five hundred fifty-eight thousand, two hundred forty".