254631440 has 120 divisors (see below), whose sum is σ = 729375192. Its totient is φ = 82145280.

The previous prime is 254631439. The next prime is 254631449. The reversal of 254631440 is 44136452.

254631440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 105596176 + 149035264 = 10276^2 + 12208^2 .

It is not an unprimeable number, because it can be changed into a prime (254631449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64730 + ... + 68550.

Almost surely, 2^254631440 is an apocalyptic number.

254631440 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 254631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364687596).

254631440 is an abundant number, since it is smaller than the sum of its proper divisors (474743752).

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

254631440 is a wasteful number, since it uses less digits than its factorization.

254631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 254631440 is about 15957.1751886103. The cubic root of 254631440 is about 633.8269122511.

Adding to 254631440 its reverse (44136452), we get a palindrome (298767892).

The spelling of 254631440 in words is "two hundred fifty-four million, six hundred thirty-one thousand, four hundred forty".