253119900 has 216 divisors, whose sum is σ = 849667840. Its totient is φ = 57974400.

The previous prime is 253119869. The next prime is 253119901. The reversal of 253119900 is 9911352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253119901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689517 + ... + 689883.

Almost surely, 2^253119900 is an apocalyptic number.

253119900 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 253119900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424833920).

253119900 is an abundant number, since it is smaller than the sum of its proper divisors (596547940).

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

253119900 is a wasteful number, since it uses less digits than its factorization.

253119900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 253119900 is about 15909.7422983529. The cubic root of 253119900 is about 632.5702505462.

The spelling of 253119900 in words is "two hundred fifty-three million, one hundred nineteen thousand, nine hundred".