254724480 has 128 divisors (see below), whose sum is σ = 902210400. Its totient is φ = 67921920.

The previous prime is 254724461. The next prime is 254724523. The reversal of 254724480 is 84427452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×254724480² = 129769121422540800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9910 + ... + 24650.

Almost surely, 2^254724480 is an apocalyptic number.

254724480 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 254724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

254724480 is an abundant number, since it is smaller than the sum of its proper divisors (647485920).

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

254724480 is a wasteful number, since it uses less digits than its factorization.

254724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14769 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 254724480 is about 15960.0902253089. The cubic root of 254724480 is about 633.9041010367.

The spelling of 254724480 in words is "two hundred fifty-four million, seven hundred twenty-four thousand, four hundred eighty".