254772000 has 384 divisors, whose sum is σ = 1062996480. Its totient is φ = 58060800.

The previous prime is 254771999. The next prime is 254772019. The reversal of 254772000 is 277452.

254772000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 755832 + ... + 756168.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2^254772000 is an apocalyptic number.

254772000 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 254772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531498240).

254772000 is an abundant number, since it is smaller than the sum of its proper divisors (808224480).

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

254772000 is a wasteful number, since it uses less digits than its factorization.

254772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 254772000 is about 15961.5788692723. The cubic root of 254772000 is about 633.9435178082.

It can be divided in two parts, 2547 and 72000, that added together give a palindrome (74547).

The spelling of 254772000 in words is "two hundred fifty-four million, seven hundred seventy-two thousand".