819413824 has 56 divisors (see below), whose sum is σ = 1751551488. Its totient is φ = 379230720.

The previous prime is 819413809. The next prime is 819413827. The reversal of 819413824 is 428314918.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819413827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36654 + ... + 54610.

Almost surely, 2^819413824 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 819413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875775744).

819413824 is an abundant number, since it is smaller than the sum of its proper divisors (932137664).

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

819413824 is a wasteful number, since it uses less digits than its factorization.

819413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18023 (or 18013 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 819413824 is about 28625.4052198392. The cubic root of 819413824 is about 935.7670786733.

The spelling of 819413824 in words is "eight hundred nineteen million, four hundred thirteen thousand, eight hundred twenty-four".