434645120 has 256 divisors, whose sum is σ = 1357171200. Its totient is φ = 129171456.

The previous prime is 434645119. The next prime is 434645131. The reversal of 434645120 is 21546434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 989861 + ... + 990299.

It is an arithmetic number, because the mean of its divisors is an integer number (5301450).

Almost surely, 2^434645120 is an apocalyptic number.

434645120 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 434645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

434645120 is an abundant number, since it is smaller than the sum of its proper divisors (922526080).

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

434645120 is a wasteful number, since it uses less digits than its factorization.

434645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 434645120 is about 20848.1442819259. The cubic root of 434645120 is about 757.4923815708.

It can be divided in two parts, 43464 and 5120, that added together give a palindrome (48584).

The spelling of 434645120 in words is "four hundred thirty-four million, six hundred forty-five thousand, one hundred twenty".