400664616 has 64 divisors (see below), whose sum is σ = 1106611200. Its totient is φ = 119870400.

The previous prime is 400664597. The next prime is 400664633. The reversal of 400664616 is 616466004.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 11251 + ... + 30461.

It is an arithmetic number, because the mean of its divisors is an integer number (17290800).

Almost surely, 2^400664616 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 400664616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553305600).

400664616 is an abundant number, since it is smaller than the sum of its proper divisors (705946584).

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

400664616 is a wasteful number, since it uses less digits than its factorization.

400664616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19310 (or 19306 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 400664616 is about 20016.6085039399. The cubic root of 400664616 is about 737.2141516371.

The spelling of 400664616 in words is "four hundred million, six hundred sixty-four thousand, six hundred sixteen".