254742840 has 256 divisors, whose sum is σ = 950745600. Its totient is φ = 60134400.

The previous prime is 254742827. The next prime is 254742877. The reversal of 254742840 is 48247452.

254742840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 254742795 and 254742804.

It is a congruent number.

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, 486819 + ... + 487341.

It is an arithmetic number, because the mean of its divisors is an integer number (3713850).

Almost surely, 2^254742840 is an apocalyptic number.

254742840 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 254742840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475372800).

254742840 is an abundant number, since it is smaller than the sum of its proper divisors (696002760).

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

254742840 is a wasteful number, since it uses less digits than its factorization.

254742840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

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

The square root of 254742840 is about 15960.6653996630. The cubic root of 254742840 is about 633.9193308250.

The spelling of 254742840 in words is "two hundred fifty-four million, seven hundred forty-two thousand, eight hundred forty".