254023920 has 240 divisors, whose sum is σ = 928512000. Its totient is φ = 62000640.

The previous prime is 254023909. The next prime is 254023943. The reversal of 254023920 is 29320452.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423781 + ... + 424379.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2^254023920 is an apocalyptic number.

254023920 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 254023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256000).

254023920 is an abundant number, since it is smaller than the sum of its proper divisors (674488080).

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

254023920 is a wasteful number, since it uses less digits than its factorization.

254023920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 254023920 is about 15938.1278699852. The cubic root of 254023920 is about 633.3224325609.

The spelling of 254023920 in words is "two hundred fifty-four million, twenty-three thousand, nine hundred twenty".