434077700409 has 16 divisors (see below), whose sum is σ = 680906197440. Its totient is φ = 272362478400.

The previous prime is 434077700401. The next prime is 434077700461. The reversal of 434077700409 is 904007770434.

It is not a de Polignac number, because 434077700409 - 2³ = 434077700401 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (434077700401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472851067 + ... + 472851984.

It is an arithmetic number, because the mean of its divisors is an integer number (42556637340).

Almost surely, 2^434077700409 is an apocalyptic number.

It is an amenable number.

434077700409 is a deficient number, since it is larger than the sum of its proper divisors (246828497031).

434077700409 is a wasteful number, since it uses less digits than its factorization.

434077700409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945703077 (or 945703071 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 434077700409 in words is "four hundred thirty-four billion, seventy-seven million, seven hundred thousand, four hundred nine".