42626400 has 72 divisors (see below), whose sum is σ = 138756744. Its totient is φ = 11366400.

The previous prime is 42626371. The next prime is 42626411. The reversal of 42626400 is 462624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6481 + ... + 11280.

It is an arithmetic number, because the mean of its divisors is an integer number (1927177).

Almost surely, 2^42626400 is an apocalyptic number.

42626400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42626400 is an abundant number, since it is smaller than the sum of its proper divisors (96130344).

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

42626400 is a wasteful number, since it uses less digits than its factorization.

42626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784 (or 17771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42626400 is about 6528.8896452613. The cubic root of 42626400 is about 349.3222257538.

The spelling of 42626400 in words is "forty-two million, six hundred twenty-six thousand, four hundred".