42508800 has 300 divisors, whose sum is σ = 161165466. Its totient is φ = 11059200.

The previous prime is 42508799. The next prime is 42508847. The reversal of 42508800 is 880524.

It can be written as a sum of positive squares in 3 ways, for example, as 19927296 + 22581504 = 4464^2 + 4752^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036780 + ... + 1036820.

Almost surely, 2^42508800 is an apocalyptic number.

42508800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582733).

42508800 is an abundant number, since it is smaller than the sum of its proper divisors (118656666).

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

42508800 is an equidigital number, since it uses as much as digits as its factorization.

42508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 42508800 is about 6519.8772994589. The cubic root of 42508800 is about 349.0006869115. Note that the first 3 decimals are identical.

The spelling of 42508800 in words is "forty-two million, five hundred eight thousand, eight hundred".