253746820 has 24 divisors (see below), whose sum is σ = 535852800. Its totient is φ = 100930272.

The previous prime is 253746809. The next prime is 253746821. The reversal of 253746820 is 28647352.

It is a super-2 number, since 2×253746820² = 128774897320224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253746820.

It is not an unprimeable number, because it can be changed into a prime (253746821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31860 + ... + 39019.

It is an arithmetic number, because the mean of its divisors is an integer number (22327200).

Almost surely, 2^253746820 is an apocalyptic number.

253746820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253746820 is an abundant number, since it is smaller than the sum of its proper divisors (282105980).

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

253746820 is a wasteful number, since it uses less digits than its factorization.

253746820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71067 (or 71065 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 253746820 is about 15929.4325071548. The cubic root of 253746820 is about 633.0920638398.

The spelling of 253746820 in words is "two hundred fifty-three million, seven hundred forty-six thousand, eight hundred twenty".