434412120 has 64 divisors (see below), whose sum is σ = 1310058720. Its totient is φ = 115236864.

The previous prime is 434412059. The next prime is 434412131. The reversal of 434412120 is 21214434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13782 + ... + 32538.

Almost surely, 2^434412120 is an apocalyptic number.

434412120 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 434412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655029360).

434412120 is an abundant number, since it is smaller than the sum of its proper divisors (875646600).

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

434412120 is a wasteful number, since it uses less digits than its factorization.

434412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18964 (or 18960 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 434412120 is about 20842.5555055036. Note that the first 4 decimals coincide. The cubic root of 434412120 is about 757.3570011848.

Adding to 434412120 its reverse (21214434), we get a palindrome (455626554).

The spelling of 434412120 in words is "four hundred thirty-four million, four hundred twelve thousand, one hundred twenty".