42253600 has 36 divisors (see below), whose sum is σ = 103153554. Its totient is φ = 16901120.

The previous prime is 42253597. The next prime is 42253613. The reversal of 42253600 is 635224.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15586704 + 26666896 = 3948^2 + 5164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25609 + ... + 27208.

Almost surely, 2^42253600 is an apocalyptic number.

42253600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42253600 is an abundant number, since it is smaller than the sum of its proper divisors (60899954).

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

42253600 is a wasteful number, since it uses less digits than its factorization.

42253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52837 (or 52824 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 42253600 is about 6500.2769171782. The cubic root of 42253600 is about 348.3008804016.

Adding to 42253600 its reverse (635224), we get a palindrome (42888824).

It can be divided in two parts, 4225 and 3600, that multiplied together give a square (15210000 = 3900²).

The spelling of 42253600 in words is "forty-two million, two hundred fifty-three thousand, six hundred".