254064960 has 168 divisors, whose sum is σ = 920069280. Its totient is φ = 64171008.

The previous prime is 254064947. The next prime is 254064971. The reversal of 254064960 is 69460452.

254064960 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 649 + 6 + 0 = 666.

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

It is a congruent number.

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, 52399 + ... + 57041.

Almost surely, 2^254064960 is an apocalyptic number.

254064960 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 254064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460034640).

254064960 is an abundant number, since it is smaller than the sum of its proper divisors (666004320).

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

254064960 is a wasteful number, since it uses less digits than its factorization.

254064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 254064960 is about 15939.4152966789. The cubic root of 254064960 is about 633.3565371616.

The spelling of 254064960 in words is "two hundred fifty-four million, sixty-four thousand, nine hundred sixty".