429228240 has 480 divisors, whose sum is σ = 1740424320. Its totient is φ = 86704128.

The previous prime is 429228229. The next prime is 429228281. The reversal of 429228240 is 42822924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3798424 + ... + 3798536.

It is an arithmetic number, because the mean of its divisors is an integer number (3625884).

Almost surely, 2^429228240 is an apocalyptic number.

429228240 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 429228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870212160).

429228240 is an abundant number, since it is smaller than the sum of its proper divisors (1311196080).

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

429228240 is a wasteful number, since it uses less digits than its factorization.

429228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 429228240 is about 20717.8242100854. The cubic root of 429228240 is about 754.3324011015.

The spelling of 429228240 in words is "four hundred twenty-nine million, two hundred twenty-eight thousand, two hundred forty".