253805700 has 72 divisors (see below), whose sum is σ = 743264928. Its totient is φ = 66859520.

The previous prime is 253805677. The next prime is 253805701. The reversal of 253805700 is 7508352.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (253805701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19804 + ... + 29996.

It is an arithmetic number, because the mean of its divisors is an integer number (10323124).

Almost surely, 2^253805700 is an apocalyptic number.

253805700 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 253805700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371632464).

253805700 is an abundant number, since it is smaller than the sum of its proper divisors (489459228).

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

253805700 is a wasteful number, since it uses less digits than its factorization.

253805700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10293 (or 10286 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 253805700 is about 15931.2805511673. The cubic root of 253805700 is about 633.1410281025.

The spelling of 253805700 in words is "two hundred fifty-three million, eight hundred five thousand, seven hundred".