429660672 has 160 divisors (see below), whose sum is σ = 1325808000. Its totient is φ = 121110528.

The previous prime is 429660659. The next prime is 429660719. The reversal of 429660672 is 276066924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956704 + ... + 957152.

It is an arithmetic number, because the mean of its divisors is an integer number (8286300).

Almost surely, 2^429660672 is an apocalyptic number.

429660672 is a gapful number since it is divisible by the number (42) 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 429660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662904000).

429660672 is an abundant number, since it is smaller than the sum of its proper divisors (896147328).

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

429660672 is an equidigital number, since it uses as much as digits as its factorization.

429660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 429660672 is about 20728.2578139119. The cubic root of 429660672 is about 754.5856369914.

The spelling of 429660672 in words is "four hundred twenty-nine million, six hundred sixty thousand, six hundred seventy-two".