253632480 has 48 divisors (see below), whose sum is σ = 798943824. Its totient is φ = 67635200.

The previous prime is 253632473. The next prime is 253632487. The reversal of 253632480 is 84236352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253632473) and next prime (253632487).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253632487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263721 + ... + 264680.

It is an arithmetic number, because the mean of its divisors is an integer number (16644663).

Almost surely, 2^253632480 is an apocalyptic number.

253632480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253632480 is an abundant number, since it is smaller than the sum of its proper divisors (545311344).

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

253632480 is a wasteful number, since it uses less digits than its factorization.

253632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528419 (or 528411 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 253632480 is about 15925.8431487944. The cubic root of 253632480 is about 632.9969577257.

The spelling of 253632480 in words is "two hundred fifty-three million, six hundred thirty-two thousand, four hundred eighty".