254433920 has 128 divisors (see below), whose sum is σ = 668561040. Its totient is φ = 92012544.

The previous prime is 254433911. The next prime is 254433947. The reversal of 254433920 is 29334452.

It can be written as a sum of positive squares in 8 ways, for example, as 176570944 + 77862976 = 13288^2 + 8824^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 440672 + ... + 441248.

Almost surely, 2^254433920 is an apocalyptic number.

254433920 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 254433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334280520).

254433920 is an abundant number, since it is smaller than the sum of its proper divisors (414127120).

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

254433920 is a wasteful number, since it uses less digits than its factorization.

254433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 254433920 is about 15950.9849225683. The cubic root of 254433920 is about 633.6629813596.

The spelling of 254433920 in words is "two hundred fifty-four million, four hundred thirty-three thousand, nine hundred twenty".