399840480 has 432 divisors, whose sum is σ = 1553924736. Its totient is φ = 93450240.

The previous prime is 399840479. The next prime is 399840481. The reversal of 399840480 is 84048993.

It is a happy number.

399840480 is a `hidden beast` number, since 3 + 99 + 84 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (399840479) and next prime (399840481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399840481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7544134 + ... + 7544186.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^399840480 is an apocalyptic number.

399840480 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 399840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776962368).

399840480 is an abundant number, since it is smaller than the sum of its proper divisors (1154084256).

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

399840480 is a wasteful number, since it uses less digits than its factorization.

399840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 399840480 is about 19996.0116023171. The cubic root of 399840480 is about 736.7083405874.

The spelling of 399840480 in words is "three hundred ninety-nine million, eight hundred forty thousand, four hundred eighty".