400264640 has 112 divisors (see below), whose sum is σ = 1027297920. Its totient is φ = 148055040.

The previous prime is 400264603. The next prime is 400264651. The reversal of 400264640 is 46462004.

It is a super-3 number, since 3×400264640³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 260675 + ... + 262205.

Almost surely, 2^400264640 is an apocalyptic number.

400264640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513648960).

400264640 is an abundant number, since it is smaller than the sum of its proper divisors (627033280).

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

400264640 is a wasteful number, since it uses less digits than its factorization.

400264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 400264640 is about 20006.6149060754. The cubic root of 400264640 is about 736.9687542560.

The spelling of 400264640 in words is "four hundred million, two hundred sixty-four thousand, six hundred forty".