249416496 has 200 divisors, whose sum is σ = 869031680. Its totient is φ = 67464576.

The previous prime is 249416491. The next prime is 249416507. The reversal of 249416496 is 694614942.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249416491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171645 + ... + 173091.

Almost surely, 2^249416496 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 249416496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434515840).

249416496 is an abundant number, since it is smaller than the sum of its proper divisors (619615184).

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

249416496 is a wasteful number, since it uses less digits than its factorization.

249416496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1478 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 249416496 is about 15792.9255047949. The cubic root of 249416496 is about 629.4700304938.

The spelling of 249416496 in words is "two hundred forty-nine million, four hundred sixteen thousand, four hundred ninety-six".