254605920 has 48 divisors (see below), whose sum is σ = 802010160. Its totient is φ = 67894784.

The previous prime is 254605919. The next prime is 254605921. The reversal of 254605920 is 29506452.

It is an interprime number because it is at equal distance from previous prime (254605919) and next prime (254605921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254605921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264735 + ... + 265694.

It is an arithmetic number, because the mean of its divisors is an integer number (16708545).

Almost surely, 2^254605920 is an apocalyptic number.

254605920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254605920 is an abundant number, since it is smaller than the sum of its proper divisors (547404240).

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

254605920 is a wasteful number, since it uses less digits than its factorization.

254605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530447 (or 530439 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 254605920 is about 15956.3755282959. The cubic root of 254605920 is about 633.8057368048.

The spelling of 254605920 in words is "two hundred fifty-four million, six hundred five thousand, nine hundred twenty".