819042952 has 96 divisors (see below), whose sum is σ = 1952683200. Its totient is φ = 315124992.

The previous prime is 819042943. The next prime is 819042967. The reversal of 819042952 is 259240918.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348999 + ... + 351337.

It is an arithmetic number, because the mean of its divisors is an integer number (20340450).

Almost surely, 2^819042952 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 819042952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976341600).

819042952 is an abundant number, since it is smaller than the sum of its proper divisors (1133640248).

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

819042952 is a wasteful number, since it uses less digits than its factorization.

819042952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 819042952 is about 28618.9264648414. The cubic root of 819042952 is about 935.6258792899.

The spelling of 819042952 in words is "eight hundred nineteen million, forty-two thousand, nine hundred fifty-two".