253468100 has 18 divisors (see below), whose sum is σ = 550025994. Its totient is φ = 101387200.

The previous prime is 253468099. The next prime is 253468141. The reversal of 253468100 is 1864352.

It can be written as a sum of positive squares in 3 ways, for example, as 36554116 + 216913984 = 6046^2 + 14728^2 .

It is a super-2 number, since 2×253468100² = 128492155435220000, which contains 22 as substring.

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, 1267241 + ... + 1267440.

Almost surely, 2^253468100 is an apocalyptic number.

253468100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253468100 is an abundant number, since it is smaller than the sum of its proper divisors (296557894).

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

253468100 is a wasteful number, since it uses less digits than its factorization.

253468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534695 (or 2534688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 253468100 is about 15920.6815180758. The cubic root of 253468100 is about 632.8601790728.

The spelling of 253468100 in words is "two hundred fifty-three million, four hundred sixty-eight thousand, one hundred".