254261040 has 320 divisors, whose sum is σ = 936368640. Its totient is φ = 56401920.

The previous prime is 254260991. The next prime is 254261057. The reversal of 254261040 is 40162452.

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 254261040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1855852 + ... + 1855988.

It is an arithmetic number, because the mean of its divisors is an integer number (2926152).

Almost surely, 2^254261040 is an apocalyptic number.

254261040 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 254261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468184320).

254261040 is an abundant number, since it is smaller than the sum of its proper divisors (682107600).

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

254261040 is a wasteful number, since it uses less digits than its factorization.

254261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 254261040 is about 15945.5649006236. The cubic root of 254261040 is about 633.5194306923.

The spelling of 254261040 in words is "two hundred fifty-four million, two hundred sixty-one thousand, forty".