253075920 has 40 divisors (see below), whose sum is σ = 784536096. Its totient is φ = 67486848.

The previous prime is 253075883. The next prime is 253075931. The reversal of 253075920 is 29570352.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527002 + ... + 527481.

Almost surely, 2^253075920 is an apocalyptic number.

253075920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253075920 is an abundant number, since it is smaller than the sum of its proper divisors (531460176).

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

253075920 is a wasteful number, since it uses less digits than its factorization.

253075920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054499 (or 1054493 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 253075920 is about 15908.3600663299. The cubic root of 253075920 is about 632.5336117161.

The spelling of 253075920 in words is "two hundred fifty-three million, seventy-five thousand, nine hundred twenty".