253621900 has 72 divisors (see below), whose sum is σ = 644396256. Its totient is φ = 84825600.

The previous prime is 253621891. The next prime is 253621903. The reversal of 253621900 is 9126352.

It is a super-2 number, since 2×253621900² = 128648136319220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (253621903) 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 23 ways as a sum of consecutive naturals, for example, 24282 + ... + 33118.

It is an arithmetic number, because the mean of its divisors is an integer number (8949948).

Almost surely, 2^253621900 is an apocalyptic number.

253621900 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 253621900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322198128).

253621900 is an abundant number, since it is smaller than the sum of its proper divisors (390774356).

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

253621900 is a wasteful number, since it uses less digits than its factorization.

253621900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 253621900 is about 15925.5109808131. The cubic root of 253621900 is about 632.9881560126.

The spelling of 253621900 in words is "two hundred fifty-three million, six hundred twenty-one thousand, nine hundred".