434864100 has 72 divisors (see below), whose sum is σ = 1372599648. Its totient is φ = 105420800.

The previous prime is 434864047. The next prime is 434864107. The reversal of 434864100 is 1468434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (434864107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62589 + ... + 69188.

It is an arithmetic number, because the mean of its divisors is an integer number (19063884).

Almost surely, 2^434864100 is an apocalyptic number.

It is an amenable number.

434864100 is an abundant number, since it is smaller than the sum of its proper divisors (937735548).

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

434864100 is a wasteful number, since it uses less digits than its factorization.

434864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131805 (or 131798 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 434864100 is about 20853.3954069835. The cubic root of 434864100 is about 757.6195717965.

It can be divided in two parts, 43486 and 4100, that added together give a triangular number (47586 = T₃₀₈).

The spelling of 434864100 in words is "four hundred thirty-four million, eight hundred sixty-four thousand, one hundred".