819874432 has 96 divisors (see below), whose sum is σ = 1787456160. Its totient is φ = 374400000.

The previous prime is 819874411. The next prime is 819874463. The reversal of 819874432 is 234478918.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3266307 + ... + 3266557.

It is an arithmetic number, because the mean of its divisors is an integer number (18619335).

Almost surely, 2^819874432 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 819874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893728080).

819874432 is an abundant number, since it is smaller than the sum of its proper divisors (967581728).

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

819874432 is a wasteful number, since it uses less digits than its factorization.

819874432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 417 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 819874432 is about 28633.4495302260. The cubic root of 819874432 is about 935.9423832847.

The spelling of 819874432 in words is "eight hundred nineteen million, eight hundred seventy-four thousand, four hundred thirty-two".