434192040 has 144 divisors (see below), whose sum is σ = 1451939580. Its totient is φ = 112527360.

The previous prime is 434192039. The next prime is 434192069. The reversal of 434192040 is 40291434.

434192040 is a `hidden beast` number, since 43 + 419 + 204 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 304642116 + 129549924 = 17454^2 + 11382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434191995 and 434192013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 492400 + ... + 493280.

Almost surely, 2^434192040 is an apocalyptic number.

434192040 is a gapful number since it is divisible by the number (40) 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 434192040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725969790).

434192040 is an abundant number, since it is smaller than the sum of its proper divisors (1017747540).

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

434192040 is a wasteful number, since it uses less digits than its factorization.

434192040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 434192040 is about 20837.2752537370. The cubic root of 434192040 is about 757.2290832650.

The spelling of 434192040 in words is "four hundred thirty-four million, one hundred ninety-two thousand, forty".