254507040 has 72 divisors (see below), whose sum is σ = 868510188. Its totient is φ = 67868160.

The previous prime is 254507023. The next prime is 254507041. The reversal of 254507040 is 40705452.

It can be written as a sum of positive squares in 2 ways, for example, as 228251664 + 26255376 = 15108^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 254506995 and 254507013.

It is not an unprimeable number, because it can be changed into a prime (254507041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86931 + ... + 89810.

Almost surely, 2^254507040 is an apocalyptic number.

254507040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254507040 is an abundant number, since it is smaller than the sum of its proper divisors (614003148).

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

254507040 is a wasteful number, since it uses less digits than its factorization.

254507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176762 (or 176751 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 254507040 is about 15953.2767793955. The cubic root of 254507040 is about 633.7236768825.

The spelling of 254507040 in words is "two hundred fifty-four million, five hundred seven thousand, forty".