254725560 has 160 divisors (see below), whose sum is σ = 886010400. Its totient is φ = 65560320.

The previous prime is 254725547. The next prime is 254725567. The reversal of 254725560 is 65527452.

254725560 is a `hidden beast` number, since 2 + 547 + 2 + 55 + 60 = 666.

It is a super-2 number, since 2×254725560² = 129770221834627200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254725567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92605 + ... + 95315.

It is an arithmetic number, because the mean of its divisors is an integer number (5537565).

Almost surely, 2^254725560 is an apocalyptic number.

254725560 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 254725560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443005200).

254725560 is an abundant number, since it is smaller than the sum of its proper divisors (631284840).

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

254725560 is a wasteful number, since it uses less digits than its factorization.

254725560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 254725560 is about 15960.1240596682. The cubic root of 254725560 is about 633.9049969269.

The spelling of 254725560 in words is "two hundred fifty-four million, seven hundred twenty-five thousand, five hundred sixty".