400304616 has 64 divisors (see below), whose sum is σ = 1071360000. Its totient is φ = 124261056.

The previous prime is 400304609. The next prime is 400304623. The reversal of 400304616 is 616403004.

It is an interprime number because it is at equal distance from previous prime (400304609) and next prime (400304623).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19465 + ... + 34343.

It is an arithmetic number, because the mean of its divisors is an integer number (16740000).

Almost surely, 2^400304616 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 400304616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680000).

400304616 is an abundant number, since it is smaller than the sum of its proper divisors (671055384).

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

400304616 is a wasteful number, since it uses less digits than its factorization.

400304616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 400304616 is about 20007.6139506939. The cubic root of 400304616 is about 736.9932880929.

The spelling of 400304616 in words is "four hundred million, three hundred four thousand, six hundred sixteen".