429466752 has 384 divisors, whose sum is σ = 1519392000. Its totient is φ = 118609920.

The previous prime is 429466727. The next prime is 429466753. The reversal of 429466752 is 257664924.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (725760) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 429466698 and 429466707.

It is not an unprimeable number, because it can be changed into a prime (429466753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436249 + ... + 5436327.

It is an arithmetic number, because the mean of its divisors is an integer number (3956750).

Almost surely, 2^429466752 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 429466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759696000).

429466752 is an abundant number, since it is smaller than the sum of its proper divisors (1089925248).

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

429466752 is a wasteful number, since it uses less digits than its factorization.

429466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 429466752 is about 20723.5796135706. The cubic root of 429466752 is about 754.4720967986.

The spelling of 429466752 in words is "four hundred twenty-nine million, four hundred sixty-six thousand, seven hundred fifty-two".