249987472 has 80 divisors (see below), whose sum is σ = 578534400. Its totient is φ = 102389760.

The previous prime is 249987449. The next prime is 249987481. The reversal of 249987472 is 274789942.

It is a super-3 number, since 3×249987472³ (a number of 26 digits) contains 333 as substring.

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, 308604 + ... + 309412.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2^249987472 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 249987472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

249987472 is an abundant number, since it is smaller than the sum of its proper divisors (328546928).

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

249987472 is a wasteful number, since it uses less digits than its factorization.

249987472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 249987472 is about 15810.9921257333. The cubic root of 249987472 is about 629.9500019110.

The spelling of 249987472 in words is "two hundred forty-nine million, nine hundred eighty-seven thousand, four hundred seventy-two".