434149040 has 40 divisors (see below), whose sum is σ = 1087045008. Its totient is φ = 160300800.

The previous prime is 434149039. The next prime is 434149049. The reversal of 434149040 is 40941434.

434149040 = T₃₄₃ + T₃₄₄ + ... + T₁₃₈₂.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 434148994 and 434149012.

It is not an unprimeable number, because it can be changed into a prime (434149049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 207686 + ... + 209765.

Almost surely, 2^434149040 is an apocalyptic number.

434149040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434149040 is an abundant number, since it is smaller than the sum of its proper divisors (652895968).

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

434149040 is a wasteful number, since it uses less digits than its factorization.

434149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417477 (or 417471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 434149040 is about 20836.2434234197. The cubic root of 434149040 is about 757.2040851670.

The spelling of 434149040 in words is "four hundred thirty-four million, one hundred forty-nine thousand, forty".