254009040 has 80 divisors (see below), whose sum is σ = 812852736. Its totient is φ = 65548800.

The previous prime is 254009027. The next prime is 254009059. The reversal of 254009040 is 40900452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 254009040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631 + ... + 24510.

Almost surely, 2^254009040 is an apocalyptic number.

254009040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254009040 is an abundant number, since it is smaller than the sum of its proper divisors (558843696).

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

254009040 is a wasteful number, since it uses less digits than its factorization.

254009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34188 (or 34182 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 254009040 is about 15937.6610580097. The cubic root of 254009040 is about 633.3100662428.

Adding to 254009040 its reverse (40900452), we get a palindrome (294909492).

The spelling of 254009040 in words is "two hundred fifty-four million, nine thousand, forty".