399854664 has 96 divisors (see below), whose sum is σ = 1220940000. Its totient is φ = 121160160.

The previous prime is 399854659. The next prime is 399854669. The reversal of 399854664 is 466458993.

399854664 is a `hidden beast` number, since 3 + 9 + 98 + 546 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (399854659) and next prime (399854669).

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

It is a self number, because there is not a number n which added to its sum of digits gives 399854664.

It is not an unprimeable number, because it can be changed into a prime (399854669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18487 + ... + 33785.

It is an arithmetic number, because the mean of its divisors is an integer number (12718125).

Almost surely, 2^399854664 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 399854664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610470000).

399854664 is an abundant number, since it is smaller than the sum of its proper divisors (821085336).

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

399854664 is a wasteful number, since it uses less digits than its factorization.

399854664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15336 (or 15315 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 399854664 is about 19996.3662699001. The cubic root of 399854664 is about 736.7170518511.

The spelling of 399854664 in words is "three hundred ninety-nine million, eight hundred fifty-four thousand, six hundred sixty-four".