254054000 has 80 divisors (see below), whose sum is σ = 625004640. Its totient is φ = 99852800.

The previous prime is 254053991. The next prime is 254054029. The reversal of 254054000 is 450452.

It is a happy number.

254054000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116924 + ... + 119076.

It is an arithmetic number, because the mean of its divisors is an integer number (7812558).

Almost surely, 2^254054000 is an apocalyptic number.

254054000 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 254054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312502320).

254054000 is an abundant number, since it is smaller than the sum of its proper divisors (370950640).

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

254054000 is a wasteful number, since it uses less digits than its factorization.

254054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 254054000 is about 15939.0714911503. The cubic root of 254054000 is about 633.3474296647.

The spelling of 254054000 in words is "two hundred fifty-four million, fifty-four thousand".