429495570 has 192 divisors, whose sum is σ = 1370753280. Its totient is φ = 91113984.

The previous prime is 429495557. The next prime is 429495581. The reversal of 429495570 is 75594924.

429495570 is a `hidden beast` number, since 4 + 2 + 94 + 9 + 557 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634072 + ... + 634748.

It is an arithmetic number, because the mean of its divisors is an integer number (7139340).

Almost surely, 2^429495570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429495570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685376640).

429495570 is an abundant number, since it is smaller than the sum of its proper divisors (941257710).

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

429495570 is a wasteful number, since it uses less digits than its factorization.

429495570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 429495570 is about 20724.2748968450. The cubic root of 429495570 is about 754.4889719044.

The spelling of 429495570 in words is "four hundred twenty-nine million, four hundred ninety-five thousand, five hundred seventy".