434482488000 has 896 divisors, whose sum is σ = 1756262476800. Its totient is φ = 104283648000.

The previous prime is 434482487981. The next prime is 434482488023. The reversal of 434482488000 is 884284434.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254231146 + ... + 254232854.

Almost surely, 2^434482488000 is an apocalyptic number.

434482488000 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 434482488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878131238400).

434482488000 is an abundant number, since it is smaller than the sum of its proper divisors (1321779988800).

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

434482488000 is a wasteful number, since it uses less digits than its factorization.

434482488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 434482488000 in words is "four hundred thirty-four billion, four hundred eighty-two million, four hundred eighty-eight thousand".