42252400 has 60 divisors (see below), whose sum is σ = 102973072. Its totient is φ = 16657920.

The previous prime is 42252341. The next prime is 42252451. The reversal of 42252400 is 425224.

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, 28477 + ... + 29923.

Almost surely, 2^42252400 is an apocalyptic number.

42252400 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 42252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51486536).

42252400 is an abundant number, since it is smaller than the sum of its proper divisors (60720672).

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

42252400 is a wasteful number, since it uses less digits than its factorization.

42252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 42252400 is about 6500.1846127629. The cubic root of 42252400 is about 348.2975831282.

Adding to 42252400 its reverse (425224), we get a palindrome (42677624).

The spelling of 42252400 in words is "forty-two million, two hundred fifty-two thousand, four hundred".