253905300 has 288 divisors, whose sum is σ = 909941760. Its totient is φ = 60220800.

The previous prime is 253905299. The next prime is 253905307. The reversal of 253905300 is 3509352.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253905307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2465049 + ... + 2465151.

It is an arithmetic number, because the mean of its divisors is an integer number (3159520).

Almost surely, 2^253905300 is an apocalyptic number.

253905300 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 253905300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

253905300 is an abundant number, since it is smaller than the sum of its proper divisors (656036460).

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

253905300 is a wasteful number, since it uses less digits than its factorization.

253905300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 253905300 is about 15934.4061702970. The cubic root of 253905300 is about 633.2238376419.

The spelling of 253905300 in words is "two hundred fifty-three million, nine hundred five thousand, three hundred".