254033920 has 120 divisors (see below), whose sum is σ = 698330304. Its totient is φ = 86900736.

The previous prime is 254033893. The next prime is 254033921. The reversal of 254033920 is 29330452.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (254033921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573219 + ... + 573661.

Almost surely, 2^254033920 is an apocalyptic number.

254033920 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 254033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349165152).

254033920 is an abundant number, since it is smaller than the sum of its proper divisors (444296384).

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

254033920 is an frugal number, since it uses more digits than its factorization.

254033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 254033920 is about 15938.4415800291. The cubic root of 254033920 is about 633.3307429873.

The spelling of 254033920 in words is "two hundred fifty-four million, thirty-three thousand, nine hundred twenty".