434454560 has 48 divisors (see below), whose sum is σ = 1029817152. Its totient is φ = 173203200.

The previous prime is 434454547. The next prime is 434454563. The reversal of 434454560 is 65454434.

It is a self number, because there is not a number n which added to its sum of digits gives 434454560.

It is not an unprimeable number, because it can be changed into a prime (434454563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45395 + ... + 54125.

It is an arithmetic number, because the mean of its divisors is an integer number (21454524).

Almost surely, 2^434454560 is an apocalyptic number.

434454560 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 434454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514908576).

434454560 is an abundant number, since it is smaller than the sum of its proper divisors (595362592).

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

434454560 is a wasteful number, since it uses less digits than its factorization.

434454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9057 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The square root of 434454560 is about 20843.5735899581. The cubic root of 434454560 is about 757.3816637752.

The spelling of 434454560 in words is "four hundred thirty-four million, four hundred fifty-four thousand, five hundred sixty".