253483520 has 40 divisors (see below), whose sum is σ = 607772484. Its totient is φ = 101392384.

The previous prime is 253483463. The next prime is 253483523. The reversal of 253483520 is 25384352.

It can be written as a sum of positive squares in 2 ways, for example, as 204146944 + 49336576 = 14288^2 + 7024^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (253483523) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 46949 + ... + 52068.

Almost surely, 2^253483520 is an apocalyptic number.

253483520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253483520 is an abundant number, since it is smaller than the sum of its proper divisors (354288964).

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

253483520 is an frugal number, since it uses more digits than its factorization.

253483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99040 (or 99024 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 253483520 is about 15921.1657864617. The cubic root of 253483520 is about 632.8730123854.

The spelling of 253483520 in words is "two hundred fifty-three million, four hundred eighty-three thousand, five hundred twenty".