254738320 has 80 divisors (see below), whose sum is σ = 645048000. Its totient is φ = 93187584.

The previous prime is 254738311. The next prime is 254738327. The reversal of 254738320 is 23837452.

254738320 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 super-2 number, since 2×254738320² = 129783223352844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254738327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41191 + ... + 46969.

It is an arithmetic number, because the mean of its divisors is an integer number (8063100).

Almost surely, 2^254738320 is an apocalyptic number.

254738320 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 254738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322524000).

254738320 is an abundant number, since it is smaller than the sum of its proper divisors (390309680).

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

254738320 is a wasteful number, since it uses less digits than its factorization.

254738320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 254738320 is about 15960.5238009283. The cubic root of 254738320 is about 633.9155815114.

The spelling of 254738320 in words is "two hundred fifty-four million, seven hundred thirty-eight thousand, three hundred twenty".