42528400 has 30 divisors (see below), whose sum is σ = 102175442. Its totient is φ = 17011200.

The previous prime is 42528359. The next prime is 42528433. The reversal of 42528400 is 482524.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 41938576 = 768^2 + 6476^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 52761 + ... + 53560.

Almost surely, 2^42528400 is an apocalyptic number.

42528400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42528400 is an abundant number, since it is smaller than the sum of its proper divisors (59647042).

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

42528400 is a wasteful number, since it uses less digits than its factorization.

42528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106339 (or 106328 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 42528400 is about 6521.3802220082. The cubic root of 42528400 is about 349.0543178648.

The spelling of 42528400 in words is "forty-two million, five hundred twenty-eight thousand, four hundred".