42564400 has 30 divisors (see below), whose sum is σ = 102261932. Its totient is φ = 17025600.

The previous prime is 42564377. The next prime is 42564407. The reversal of 42564400 is 446524.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42564407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52806 + ... + 53605.

Almost surely, 2^42564400 is an apocalyptic number.

42564400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42564400 is an abundant number, since it is smaller than the sum of its proper divisors (59697532).

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

42564400 is a wasteful number, since it uses less digits than its factorization.

42564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106429 (or 106418 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42564400 is about 6524.1397900413. The cubic root of 42564400 is about 349.1527807856.

The spelling of 42564400 in words is "forty-two million, five hundred sixty-four thousand, four hundred".