249501460 has 72 divisors (see below), whose sum is σ = 573959736. Its totient is φ = 91054080.

The previous prime is 249501451. The next prime is 249501479. The reversal of 249501460 is 64105942.

It can be written as a sum of positive squares in 12 ways, for example, as 224220676 + 25280784 = 14974^2 + 5028^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327480 + ... + 328240.

It is an arithmetic number, because the mean of its divisors is an integer number (7971663).

Almost surely, 2^249501460 is an apocalyptic number.

249501460 is a gapful number since it is divisible by the number (20) 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 249501460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286979868).

249501460 is an abundant number, since it is smaller than the sum of its proper divisors (324458276).

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

249501460 is a wasteful number, since it uses less digits than its factorization.

249501460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 249501460 is about 15795.6152143562. The cubic root of 249501460 is about 629.5414989288.

The spelling of 249501460 in words is "two hundred forty-nine million, five hundred one thousand, four hundred sixty".