400924664 has 72 divisors (see below), whose sum is σ = 895397040. Its totient is φ = 167805792.

The previous prime is 400924663. The next prime is 400924669. The reversal of 400924664 is 466429004.

It is a super-3 number, since 3×400924664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400924663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 865697 + ... + 866159.

It is an arithmetic number, because the mean of its divisors is an integer number (12436070).

Almost surely, 2^400924664 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 400924664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447698520).

400924664 is an abundant number, since it is smaller than the sum of its proper divisors (494472376).

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

400924664 is a wasteful number, since it uses less digits than its factorization.

400924664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 400924664 is about 20023.1032559891. The cubic root of 400924664 is about 737.3736113588.

The spelling of 400924664 in words is "four hundred million, nine hundred twenty-four thousand, six hundred sixty-four".