400232640 has 112 divisors (see below), whose sum is σ = 1286304768. Its totient is φ = 105421824.

The previous prime is 400232639. The next prime is 400232659. The reversal of 400232640 is 46232004.

It is a super-2 number, since 2×400232640² = 320372332242739200, which contains 22 as substring.

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, 77169 + ... + 82191.

It is an arithmetic number, because the mean of its divisors is an integer number (11484864).

Almost surely, 2^400232640 is an apocalyptic number.

400232640 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 400232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643152384).

400232640 is an abundant number, since it is smaller than the sum of its proper divisors (886072128).

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

400232640 is a wasteful number, since it uses less digits than its factorization.

400232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 400232640 is about 20005.8151545994. The cubic root of 400232640 is about 736.9491142260.

Adding to 400232640 its reverse (46232004), we get a palindrome (446464644).

The spelling of 400232640 in words is "four hundred million, two hundred thirty-two thousand, six hundred forty".