253077720 has 256 divisors, whose sum is σ = 928281600. Its totient is φ = 53913600.

The previous prime is 253077709. The next prime is 253077733. The reversal of 253077720 is 27770352.

253077720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611882 + ... + 1612038.

It is an arithmetic number, because the mean of its divisors is an integer number (3626100).

Almost surely, 2^253077720 is an apocalyptic number.

253077720 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 253077720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464140800).

253077720 is an abundant number, since it is smaller than the sum of its proper divisors (675203880).

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

253077720 is a wasteful number, since it uses less digits than its factorization.

253077720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 253077720 is about 15908.4166402568. The cubic root of 253077720 is about 632.5351113422.

The spelling of 253077720 in words is "two hundred fifty-three million, seventy-seven thousand, seven hundred twenty".