253679540 has 24 divisors (see below), whose sum is σ = 539148960. Its totient is φ = 100248608.

The previous prime is 253679533. The next prime is 253679561. The reversal of 253679540 is 45976352.

It is a super-2 number, since 2×253679540² = 128706618029223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74750 + ... + 78069.

It is an arithmetic number, because the mean of its divisors is an integer number (22464540).

Almost surely, 2^253679540 is an apocalyptic number.

253679540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253679540 is an abundant number, since it is smaller than the sum of its proper divisors (285469420).

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

253679540 is a wasteful number, since it uses less digits than its factorization.

253679540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152911 (or 152909 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 253679540 is about 15927.3205530623. The cubic root of 253679540 is about 633.0361049130.

The spelling of 253679540 in words is "two hundred fifty-three million, six hundred seventy-nine thousand, five hundred forty".