1904463132 has 96 divisors (see below), whose sum is σ = 5230546944. Its totient is φ = 531705600.

The previous prime is 1904463109. The next prime is 1904463139. The reversal of 1904463132 is 2313644091.

It is a super-2 number, since 2×1904463132² = 7253959642294498848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1904463093 and 1904463102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904463139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751493 + ... + 1752579.

It is an arithmetic number, because the mean of its divisors is an integer number (54484864).

Almost surely, 2^1904463132 is an apocalyptic number.

1904463132 is a gapful number since it is divisible by the number (12) 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 1904463132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615273472).

1904463132 is an abundant number, since it is smaller than the sum of its proper divisors (3326083812).

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

1904463132 is a wasteful number, since it uses less digits than its factorization.

1904463132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1904463132 is about 43640.1550409712. The cubic root of 1904463132 is about 1239.5313725172.

The spelling of 1904463132 in words is "one billion, nine hundred four million, four hundred sixty-three thousand, one hundred thirty-two".