429907380 has 288 divisors, whose sum is σ = 1489259520. Its totient is φ = 92252160.

The previous prime is 429907369. The next prime is 429907393. The reversal of 429907380 is 83709924.

429907380 is digitally balanced in base 6, 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4830376 + ... + 4830464.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^429907380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429907380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

429907380 is an abundant number, since it is smaller than the sum of its proper divisors (1059352140).

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

429907380 is a wasteful number, since it uses less digits than its factorization.

429907380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 429907380 is about 20734.2079665465. The cubic root of 429907380 is about 754.7300351998.

The spelling of 429907380 in words is "four hundred twenty-nine million, nine hundred seven thousand, three hundred eighty".