249492516 has 144 divisors (see below), whose sum is σ = 737888256. Its totient is φ = 65028096.

The previous prime is 249492511. The next prime is 249492547. The reversal of 249492516 is 615294942.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249492511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970660 + ... + 970916.

It is an arithmetic number, because the mean of its divisors is an integer number (5124224).

Almost surely, 2^249492516 is an apocalyptic number.

249492516 is a gapful number since it is divisible by the number (26) 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 249492516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368944128).

249492516 is an abundant number, since it is smaller than the sum of its proper divisors (488395740).

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

249492516 is a wasteful number, since it uses less digits than its factorization.

249492516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 249492516 is about 15795.3320952742. The cubic root of 249492516 is about 629.5339763456.

The spelling of 249492516 in words is "two hundred forty-nine million, four hundred ninety-two thousand, five hundred sixteen".