254105920 has 112 divisors (see below), whose sum is σ = 631667520. Its totient is φ = 97284096.

The previous prime is 254105893. The next prime is 254105927. The reversal of 254105920 is 29501452.

254105920 = T₁₉₂₀ + T₁₉₂₁ + ... + T₂₀₄₈.

254105920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254105927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811684 + ... + 811996.

Almost surely, 2^254105920 is an apocalyptic number.

254105920 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 254105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315833760).

254105920 is an abundant number, since it is smaller than the sum of its proper divisors (377561600).

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

254105920 is a wasteful number, since it uses less digits than its factorization.

254105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 254105920 is about 15940.7001100955. The cubic root of 254105920 is about 633.3905716197.

It can be divided in two parts, 254105 and 920, that added together give a square (255025 = 505²).

The spelling of 254105920 in words is "two hundred fifty-four million, one hundred five thousand, nine hundred twenty".