42536400 has 60 divisors (see below), whose sum is σ = 136262112. Its totient is φ = 11342720.

The previous prime is 42536381. The next prime is 42536441. The reversal of 42536400 is 463524.

It is a tau number, because it is divible by the number of its divisors (60).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16524 + ... + 18923.

Almost surely, 2^42536400 is an apocalyptic number.

42536400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42536400 is an abundant number, since it is smaller than the sum of its proper divisors (93725712).

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

42536400 is a wasteful number, since it uses less digits than its factorization.

42536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35468 (or 35457 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42536400 is about 6521.9935602544. The cubic root of 42536400 is about 349.0762033144.

Adding to 42536400 its reverse (463524), we get a palindrome (42999924).

The spelling of 42536400 in words is "forty-two million, five hundred thirty-six thousand, four hundred".