434045880 has 384 divisors, whose sum is σ = 1617408000. Its totient is φ = 100362240.

The previous prime is 434045869. The next prime is 434045897. The reversal of 434045880 is 88540434.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4876876 + ... + 4876964.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2^434045880 is an apocalyptic number.

434045880 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 434045880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

434045880 is an abundant number, since it is smaller than the sum of its proper divisors (1183362120).

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

434045880 is a wasteful number, since it uses less digits than its factorization.

434045880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 434045880 is about 20833.7677821368. The cubic root of 434045880 is about 757.1441062550.

It can be divided in two parts, 43404 and 5880, that added together give a square (49284 = 222²).

The spelling of 434045880 in words is "four hundred thirty-four million, forty-five thousand, eight hundred eighty".