1004431032 has 48 divisors (see below), whose sum is σ = 2967639480. Its totient is φ = 304372800.

The previous prime is 1004431027. The next prime is 1004431039. The reversal of 1004431032 is 2301344001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004430996 and 1004431014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004431039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633319 + ... + 634902.

Almost surely, 2^1004431032 is an apocalyptic number.

1004431032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004431032 is an abundant number, since it is smaller than the sum of its proper divisors (1963208448).

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

1004431032 is a wasteful number, since it uses less digits than its factorization.

1004431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268244 (or 1268237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1004431032 is about 31692.7599303058. The cubic root of 1004431032 is about 1001.4748344607.

Adding to 1004431032 its reverse (2301344001), we get a palindrome (3305775033).

It can be divided in two parts, 100443 and 1032, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 1004431032 in words is "one billion, four million, four hundred thirty-one thousand, thirty-two".