400122624 has 72 divisors (see below), whose sum is σ = 1161744192. Its totient is φ = 121246720.

The previous prime is 400122587. The next prime is 400122629. The reversal of 400122624 is 426221004.

It is a super-2 number, since 2×400122624² = 320196228473290752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400122624.

It is not an unprimeable number, because it can be changed into a prime (400122629) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15234 + ... + 32129.

It is an arithmetic number, because the mean of its divisors is an integer number (16135336).

Almost surely, 2^400122624 is an apocalyptic number.

400122624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400122624 is an abundant number, since it is smaller than the sum of its proper divisors (761621568).

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

400122624 is a wasteful number, since it uses less digits than its factorization.

400122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47393 (or 47379 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 400122624 is about 20003.0653650884. The cubic root of 400122624 is about 736.8815838153.

Adding to 400122624 its reverse (426221004), we get a palindrome (826343628).

The spelling of 400122624 in words is "four hundred million, one hundred twenty-two thousand, six hundred twenty-four".