42576900 has 72 divisors (see below), whose sum is σ = 123846240. Its totient is φ = 11293440.

The previous prime is 42576893. The next prime is 42576913. The reversal of 42576900 is 967524.

It is a super-2 number, since 2×42576900² = 3625584827220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103896 + ... + 104304.

Almost surely, 2^42576900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42576900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61923120).

42576900 is an abundant number, since it is smaller than the sum of its proper divisors (81269340).

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

42576900 is a wasteful number, since it uses less digits than its factorization.

42576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 42576900 is about 6525.0977004180. The cubic root of 42576900 is about 349.1869563141.

The spelling of 42576900 in words is "forty-two million, five hundred seventy-six thousand, nine hundred".