400291264 has 56 divisors (see below), whose sum is σ = 833749920. Its totient is φ = 190316544.

The previous prime is 400291253. The next prime is 400291279. The reversal of 400291264 is 462192004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283392 + ... + 284800.

Almost surely, 2^400291264 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 400291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416874960).

400291264 is an abundant number, since it is smaller than the sum of its proper divisors (433458656).

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

400291264 is a wasteful number, since it uses less digits than its factorization.

400291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 400291264 is about 20007.2802749399. The cubic root of 400291264 is about 736.9850939632.

It can be divided in two parts, 4002 and 91264, that added together give a triangular number (95266 = T₄₃₆).

The spelling of 400291264 in words is "four hundred million, two hundred ninety-one thousand, two hundred sixty-four".