42633800 has 48 divisors (see below), whose sum is σ = 108140400. Its totient is φ = 15502400.

The previous prime is 42633781. The next prime is 42633803. The reversal of 42633800 is 833624.

It is a self number, because there is not a number n which added to its sum of digits gives 42633800.

It is not an unprimeable number, because it can be changed into a prime (42633803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7490 + ... + 11889.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 2^42633800 is an apocalyptic number.

42633800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42633800 is an abundant number, since it is smaller than the sum of its proper divisors (65506600).

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

42633800 is a wasteful number, since it uses less digits than its factorization.

42633800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19406 (or 19397 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 42633800 is about 6529.4563326513. The cubic root of 42633800 is about 349.3424388526.

The spelling of 42633800 in words is "forty-two million, six hundred thirty-three thousand, eight hundred".