253778320 has 80 divisors (see below), whose sum is σ = 621924480. Its totient is φ = 96115712.

The previous prime is 253778311. The next prime is 253778321. The reversal of 253778320 is 23877352.

253778320 is digitally balanced in base 3, 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 253778320.

It is not an unprimeable number, because it can be changed into a prime (253778321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196236 + ... + 197524.

It is an arithmetic number, because the mean of its divisors is an integer number (7774056).

Almost surely, 2^253778320 is an apocalyptic number.

253778320 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 253778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310962240).

253778320 is an abundant number, since it is smaller than the sum of its proper divisors (368146160).

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

253778320 is a wasteful number, since it uses less digits than its factorization.

253778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 253778320 is about 15930.4212122593. The cubic root of 253778320 is about 633.1182599972.

The spelling of 253778320 in words is "two hundred fifty-three million, seven hundred seventy-eight thousand, three hundred twenty".