434002480 has 80 divisors (see below), whose sum is σ = 1049932800. Its totient is φ = 166659840.

The previous prime is 434002453. The next prime is 434002567. The reversal of 434002480 is 84200434.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344091 + ... + 345349.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^434002480 is an apocalyptic number.

434002480 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 434002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

434002480 is an abundant number, since it is smaller than the sum of its proper divisors (615930320).

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

434002480 is a wasteful number, since it uses less digits than its factorization.

434002480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 434002480 is about 20832.7261778194. The cubic root of 434002480 is about 757.1188699448.

The spelling of 434002480 in words is "four hundred thirty-four million, two thousand, four hundred eighty".