400070664 has 160 divisors (see below), whose sum is σ = 1296345600. Its totient is φ = 112907520.

The previous prime is 400070651. The next prime is 400070683. The reversal of 400070664 is 466070004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403209 + ... + 404199.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^400070664 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 400070664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648172800).

400070664 is an abundant number, since it is smaller than the sum of its proper divisors (896274936).

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

400070664 is a wasteful number, since it uses less digits than its factorization.

400070664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400070664 is about 20001.7665219850. The cubic root of 400070664 is about 736.8496852403.

The spelling of 400070664 in words is "four hundred million, seventy thousand, six hundred sixty-four".