434889120 has 192 divisors, whose sum is σ = 1439617536. Its totient is φ = 110223360.

The previous prime is 434889109. The next prime is 434889127. The reversal of 434889120 is 21988434.

It is a hoax number, since the sum of its digits (39) 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 (434889127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834460 + ... + 834980.

It is an arithmetic number, because the mean of its divisors is an integer number (7498008).

Almost surely, 2^434889120 is an apocalyptic number.

434889120 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 434889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719808768).

434889120 is an abundant number, since it is smaller than the sum of its proper divisors (1004728416).

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

434889120 is a wasteful number, since it uses less digits than its factorization.

434889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 434889120 is about 20853.9953006612. The cubic root of 434889120 is about 757.6341014531.

The spelling of 434889120 in words is "four hundred thirty-four million, eight hundred eighty-nine thousand, one hundred twenty".