816249424 has 80 divisors (see below), whose sum is σ = 1793188800. Its totient is φ = 357599232.

The previous prime is 816249419. The next prime is 816249431. The reversal of 816249424 is 424942618.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303574 + ... + 306250.

It is an arithmetic number, because the mean of its divisors is an integer number (22414860).

Almost surely, 2^816249424 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 816249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896594400).

816249424 is an abundant number, since it is smaller than the sum of its proper divisors (976939376).

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

816249424 is a wasteful number, since it uses less digits than its factorization.

816249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2774 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 816249424 is about 28570.0791738490. The cubic root of 816249424 is about 934.5609476482.

The spelling of 816249424 in words is "eight hundred sixteen million, two hundred forty-nine thousand, four hundred twenty-four".