249862464 has 252 divisors, whose sum is σ = 810971200. Its totient is φ = 73322496.

The previous prime is 249862423. The next prime is 249862493. The reversal of 249862464 is 464268942.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3162777 + ... + 3162855.

Almost surely, 2^249862464 is an apocalyptic number.

249862464 is a gapful number since it is divisible by the number (24) 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 249862464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405485600).

249862464 is an abundant number, since it is smaller than the sum of its proper divisors (561108736).

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

249862464 is a wasteful number, since it uses less digits than its factorization.

249862464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 249862464 is about 15807.0384322934. The cubic root of 249862464 is about 629.8449807552.

The spelling of 249862464 in words is "two hundred forty-nine million, eight hundred sixty-two thousand, four hundred sixty-four".