424429270200 has 288 divisors, whose sum is σ = 1583032496400. Its totient is φ = 104474672640.

The previous prime is 424429270189. The next prime is 424429270241. The reversal of 424429270200 is 2072924424.

424429270200 is a `hidden beast` number, since 4 + 2 + 4 + 429 + 27 + 0 + 200 = 666.

424429270200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 680062 + ... + 1145138.

Almost surely, 2^424429270200 is an apocalyptic number.

424429270200 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 424429270200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791516248200).

424429270200 is an abundant number, since it is smaller than the sum of its proper divisors (1158603226200).

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

424429270200 is a wasteful number, since it uses less digits than its factorization.

424429270200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465128 (or 465100 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 424429270200 in words is "four hundred twenty-four billion, four hundred twenty-nine million, two hundred seventy thousand, two hundred".