819436464 has 240 divisors, whose sum is σ = 2880244224. Its totient is φ = 211276800.

The previous prime is 819436421. The next prime is 819436481. The reversal of 819436464 is 464634918.

It is a super-2 number, since 2×819436464² = 1342952237065646592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (497664) is a multiple of the sum of its prime factors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916004 + ... + 2916284.

Almost surely, 2^819436464 is an apocalyptic number.

819436464 is a gapful number since it is divisible by the number (84) 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 819436464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440122112).

819436464 is an abundant number, since it is smaller than the sum of its proper divisors (2060807760).

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

819436464 is a wasteful number, since it uses less digits than its factorization.

819436464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 819436464 is about 28625.8006700249. The cubic root of 819436464 is about 935.7756968549.

The spelling of 819436464 in words is "eight hundred nineteen million, four hundred thirty-six thousand, four hundred sixty-four".