253320480 has 192 divisors, whose sum is σ = 1013402880. Its totient is φ = 57894912.

The previous prime is 253320461. The next prime is 253320491. The reversal of 253320480 is 84023352.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 26052 + ... + 34428.

It is an arithmetic number, because the mean of its divisors is an integer number (5278140).

Almost surely, 2^253320480 is an apocalyptic number.

253320480 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 253320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506701440).

253320480 is an abundant number, since it is smaller than the sum of its proper divisors (760082400).

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

253320480 is a wasteful number, since it uses less digits than its factorization.

253320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253320480 is about 15916.0447347951. The cubic root of 253320480 is about 632.7372958092.

The spelling of 253320480 in words is "two hundred fifty-three million, three hundred twenty thousand, four hundred eighty".