434488320 has 352 divisors, whose sum is σ = 1768608000. Its totient is φ = 99090432.

The previous prime is 434488309. The next prime is 434488391. The reversal of 434488320 is 23884434.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967456 + ... + 967904.

Almost surely, 2^434488320 is an apocalyptic number.

434488320 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 434488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884304000).

434488320 is an abundant number, since it is smaller than the sum of its proper divisors (1334119680).

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

434488320 is a wasteful number, since it uses less digits than its factorization.

434488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 434488320 is about 20844.3834161627. The cubic root of 434488320 is about 757.4012811261.

The spelling of 434488320 in words is "four hundred thirty-four million, four hundred eighty-eight thousand, three hundred twenty".