249722928 has 480 divisors, whose sum is σ = 974937600. Its totient is φ = 57729024.

The previous prime is 249722867. The next prime is 249722933. The reversal of 249722928 is 829227942.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 4232563 + ... + 4232621.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^249722928 is an apocalyptic number.

249722928 is a gapful number since it is divisible by the number (28) 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 249722928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

249722928 is an abundant number, since it is smaller than the sum of its proper divisors (725214672).

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

249722928 is a wasteful number, since it uses less digits than its factorization.

249722928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 249722928 is about 15802.6240858916. The cubic root of 249722928 is about 629.7277130219.

It can be divided in two parts, 2497 and 22928, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 249722928 in words is "two hundred forty-nine million, seven hundred twenty-two thousand, nine hundred twenty-eight".