254994432 has 288 divisors, whose sum is σ = 871416000. Its totient is φ = 66232320.

The previous prime is 254994431. The next prime is 254994449. The reversal of 254994432 is 234499452.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (254994431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23181307 + ... + 23181317.

It is an arithmetic number, because the mean of its divisors is an integer number (3025750).

Almost surely, 2^254994432 is an apocalyptic number.

254994432 is a gapful number since it is divisible by the number (22) 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 254994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708000).

254994432 is an abundant number, since it is smaller than the sum of its proper divisors (616421568).

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

254994432 is an equidigital number, since it uses as much as digits as its factorization.

254994432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 254994432 is about 15968.5450808770. The cubic root of 254994432 is about 634.1279550145.

Multiplying 254994432 by its sum of digits (42), we get a square (10709766144 = 103488²).

254994432 divided by its sum of digits (42) gives a square (6071296 = 2464²).

The spelling of 254994432 in words is "two hundred fifty-four million, nine hundred ninety-four thousand, four hundred thirty-two".