434452480 has 384 divisors, whose sum is σ = 1415232000. Its totient is φ = 123863040.

The previous prime is 434452471. The next prime is 434452481. The reversal of 434452480 is 84254434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434452481) by changing a digit.

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, 14981106 + ... + 14981134.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^434452480 is an apocalyptic number.

434452480 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 434452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

434452480 is an abundant number, since it is smaller than the sum of its proper divisors (980779520).

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

434452480 is a wasteful number, since it uses less digits than its factorization.

434452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 434452480 is about 20843.5236944236. The cubic root of 434452480 is about 757.3804550900.

The spelling of 434452480 in words is "four hundred thirty-four million, four hundred fifty-two thousand, four hundred eighty".