253553040 has 240 divisors, whose sum is σ = 929440512. Its totient is φ = 61572096.

The previous prime is 253553033. The next prime is 253553051. The reversal of 253553040 is 40355352.

253553040 is a `hidden beast` number, since 2 + 5 + 355 + 304 + 0 = 666.

253553040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 253552995 and 253553013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963949 + ... + 964211.

Almost surely, 2^253553040 is an apocalyptic number.

253553040 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 253553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464720256).

253553040 is an abundant number, since it is smaller than the sum of its proper divisors (675887472).

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

253553040 is a wasteful number, since it uses less digits than its factorization.

253553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 253553040 is about 15923.3488939984. The cubic root of 253553040 is about 632.9308640230.

The spelling of 253553040 in words is "two hundred fifty-three million, five hundred fifty-three thousand, forty".