254652480 has 168 divisors, whose sum is σ = 906399000. Its totient is φ = 65544192.

The previous prime is 254652413. The next prime is 254652511. The reversal of 254652480 is 84256452.

It is a happy number.

254652480 is a `hidden beast` number, since 2 + 54 + 6 + 524 + 80 = 666.

254652480 is digitally balanced in base 3, 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 2985984 + 251666496 = 1728^2 + 15864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81996 + ... + 85044.

Almost surely, 2^254652480 is an apocalyptic number.

254652480 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 254652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453199500).

254652480 is an abundant number, since it is smaller than the sum of its proper divisors (651746520).

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

254652480 is a wasteful number, since it uses less digits than its factorization.

254652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 254652480 is about 15957.8344395472. The cubic root of 254652480 is about 633.8443693137.

The spelling of 254652480 in words is "two hundred fifty-four million, six hundred fifty-two thousand, four hundred eighty".