429809445000 has 240 divisors, whose sum is σ = 1566514289340. Its totient is φ = 105799104000.

The previous prime is 429809444983. The next prime is 429809445001. The reversal of 429809445000 is 544908924.

429809445000 is a `hidden beast` number, since 4 + 29 + 80 + 9 + 44 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 52447412196 + 377362032804 = 229014^2 + 614298^2 .

It is a super-2 number, since 2×429809445000² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (429809445001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217642 + ... + 952358.

Almost surely, 2^429809445000 is an apocalyptic number.

429809445000 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 429809445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783257144670).

429809445000 is an abundant number, since it is smaller than the sum of its proper divisors (1136704844340).

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

429809445000 is a wasteful number, since it uses less digits than its factorization.

429809445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734762 (or 734740 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 429809445000 in words is "four hundred twenty-nine billion, eight hundred nine million, four hundred forty-five thousand".