254086920 has 96 divisors (see below), whose sum is σ = 830606400. Its totient is φ = 67360896.

The previous prime is 254086907. The next prime is 254086961. The reversal of 254086920 is 29680452.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62469 + ... + 66411.

It is an arithmetic number, because the mean of its divisors is an integer number (8652150).

Almost surely, 2^254086920 is an apocalyptic number.

254086920 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 254086920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415303200).

254086920 is an abundant number, since it is smaller than the sum of its proper divisors (576519480).

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

254086920 is a wasteful number, since it uses less digits than its factorization.

254086920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 254086920 is about 15940.1041401868. The cubic root of 254086920 is about 633.3747846062.

The spelling of 254086920 in words is "two hundred fifty-four million, eighty-six thousand, nine hundred twenty".