1904741172 has 36 divisors (see below), whose sum is σ = 4817852676. Its totient is φ = 634506240.

The previous prime is 1904741171. The next prime is 1904741213. The reversal of 1904741172 is 2711474091.

1904741172 is a `hidden beast` number, since 19 + 0 + 474 + 1 + 172 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 305061156 + 1599680016 = 17466^2 + 39996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904741171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42772 + ... + 75092.

It is an arithmetic number, because the mean of its divisors is an integer number (133829241).

Almost surely, 2^1904741172 is an apocalyptic number.

1904741172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1904741172 is an abundant number, since it is smaller than the sum of its proper divisors (2913111504).

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

1904741172 is a wasteful number, since it uses less digits than its factorization.

1904741172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33968 (or 33963 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1904741172 is about 43643.3405229251. The cubic root of 1904741172 is about 1239.5916909217.

The spelling of 1904741172 in words is "one billion, nine hundred four million, seven hundred forty-one thousand, one hundred seventy-two".