253253280 has 192 divisors, whose sum is σ = 959938560. Its totient is φ = 54825984.

The previous prime is 253253251. The next prime is 253253293. The reversal of 253253280 is 82352352.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61857 + ... + 65823.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^253253280 is an apocalyptic number.

253253280 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 253253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

253253280 is an abundant number, since it is smaller than the sum of its proper divisors (706685280).

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

253253280 is a wasteful number, since it uses less digits than its factorization.

253253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 253253280 is about 15913.9335175185. The cubic root of 253253280 is about 632.6813407246.

The spelling of 253253280 in words is "two hundred fifty-three million, two hundred fifty-three thousand, two hundred eighty".