253780 has 12 divisors (see below), whose sum is σ = 532980. Its totient is φ = 101504.

The previous prime is 253777. The next prime is 253787. The reversal of 253780 is 87352.

253780 = 123² + 124² + ... + 137².

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 197136 = 238^2 + 444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6325 + ... + 6364.

It is an arithmetic number, because the mean of its divisors is an integer number (44415).

2²⁵³⁷⁸⁰ is an apocalyptic number.

253780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253780 is an abundant number, since it is smaller than the sum of its proper divisors (279200).

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

253780 is a wasteful number, since it uses less digits than its factorization.

253780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12698 (or 12696 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 253780 is about 503.7658186102. The cubic root of 253780 is about 63.3119657065.

The spelling of 253780 in words is "two hundred fifty-three thousand, seven hundred eighty".