1004961832 has 128 divisors (see below), whose sum is σ = 2351462400. Its totient is φ = 393120000.

The previous prime is 1004961823. The next prime is 1004961871. The reversal of 1004961832 is 2381694001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4003707 + ... + 4003957.

It is an arithmetic number, because the mean of its divisors is an integer number (18370800).

Almost surely, 2^1004961832 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 1004961832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175731200).

1004961832 is an abundant number, since it is smaller than the sum of its proper divisors (1346500568).

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

1004961832 is a wasteful number, since it uses less digits than its factorization.

1004961832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1004961832 is about 31701.1329765988. The cubic root of 1004961832 is about 1001.6512159851.

The spelling of 1004961832 in words is "one billion, four million, nine hundred sixty-one thousand, eight hundred thirty-two".