429944760 has 384 divisors, whose sum is σ = 1698278400. Its totient is φ = 95800320.

The previous prime is 429944759. The next prime is 429944821. The reversal of 429944760 is 67449924.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4830796 + ... + 4830884.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^429944760 is an apocalyptic number.

429944760 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 429944760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

429944760 is an abundant number, since it is smaller than the sum of its proper divisors (1268333640).

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

429944760 is a wasteful number, since it uses less digits than its factorization.

429944760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 429944760 is about 20735.1093558727. The cubic root of 429944760 is about 754.7519088966.

The spelling of 429944760 in words is "four hundred twenty-nine million, nine hundred forty-four thousand, seven hundred sixty".