253671900 has 72 divisors (see below), whose sum is σ = 735630000. Its totient is φ = 67491840.

The previous prime is 253671893. The next prime is 253671917. The reversal of 253671900 is 9176352.

It is a super-2 number, since 2×253671900² = 128698865699220000, 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 23 ways as a sum of consecutive naturals, for example, 202476 + ... + 203724.

Almost surely, 2^253671900 is an apocalyptic number.

253671900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253671900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367815000).

253671900 is an abundant number, since it is smaller than the sum of its proper divisors (481958100).

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

253671900 is a wasteful number, since it uses less digits than its factorization.

253671900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 253671900 is about 15927.0807117940. The cubic root of 253671900 is about 633.0297498553.

The spelling of 253671900 in words is "two hundred fifty-three million, six hundred seventy-one thousand, nine hundred".