253764900 has 189 divisors, whose sum is σ = 839857921. Its totient is φ = 66523680.

The previous prime is 253764883. The next prime is 253764937. The reversal of 253764900 is 9467352.

The square root of 253764900 is 15930.

It is a perfect power (a square), and thus also a powerful number.

253764900 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 649 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91355364 + 162409536 = 9558^2 + 12744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4301071 + ... + 4301129.

Almost surely, 2^253764900 is an apocalyptic number.

253764900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

253764900 is the 15930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253764900

253764900 is an abundant number, since it is smaller than the sum of its proper divisors (586093021).

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

253764900 is an equidigital number, since it uses as much as digits as its factorization.

253764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 253764900 is about 633.1070998676.

Multiplying 253764900 by its sum of digits (36), we get a square (9135536400 = 95580²).

253764900 divided by its sum of digits (36) gives a square (7049025 = 2655²).

It can be divided in two parts, 25376 and 4900, that added together give a square (30276 = 174²).

The spelling of 253764900 in words is "two hundred fifty-three million, seven hundred sixty-four thousand, nine hundred".