249533460 has 360 divisors, whose sum is σ = 919232160. Its totient is φ = 56453760.

The previous prime is 249533437. The next prime is 249533489. The reversal of 249533460 is 64335942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3724347 + ... + 3724413.

Almost surely, 2^249533460 is an apocalyptic number.

249533460 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 249533460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459616080).

249533460 is an abundant number, since it is smaller than the sum of its proper divisors (669698700).

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

249533460 is a wasteful number, since it uses less digits than its factorization.

249533460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 249533460 is about 15796.6281212162. The cubic root of 249533460 is about 629.5684118865.

The spelling of 249533460 in words is "two hundred forty-nine million, five hundred thirty-three thousand, four hundred sixty".