249925728 has 96 divisors (see below), whose sum is σ = 737323776. Its totient is φ = 73548288.

The previous prime is 249925693. The next prime is 249925733. The reversal of 249925728 is 827529942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×249925728³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24351 + ... + 33057.

It is an arithmetic number, because the mean of its divisors is an integer number (7680456).

Almost surely, 2^249925728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249925728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368661888).

249925728 is an abundant number, since it is smaller than the sum of its proper divisors (487398048).

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

249925728 is a wasteful number, since it uses less digits than its factorization.

249925728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8748 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 249925728 is about 15809.0394395105. The cubic root of 249925728 is about 629.8981341977.

The spelling of 249925728 in words is "two hundred forty-nine million, nine hundred twenty-five thousand, seven hundred twenty-eight".