434104920 has 112 divisors (see below), whose sum is σ = 1464532560. Its totient is φ = 115753536.

The previous prime is 434104901. The next prime is 434104961. The reversal of 434104920 is 29401434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21717 + ... + 36603.

Almost surely, 2^434104920 is an apocalyptic number.

434104920 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 434104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732266280).

434104920 is an abundant number, since it is smaller than the sum of its proper divisors (1030427640).

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

434104920 is a wasteful number, since it uses less digits than its factorization.

434104920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14897 counting only the distinct ones).

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

The square root of 434104920 is about 20835.1846644084. The cubic root of 434104920 is about 757.1784342400.

The spelling of 434104920 in words is "four hundred thirty-four million, one hundred four thousand, nine hundred twenty".