429484704 has 96 divisors (see below), whose sum is σ = 1283433984. Its totient is φ = 124481280.

The previous prime is 429484703. The next prime is 429484729. The reversal of 429484704 is 407484924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×429484704² = 368914221939935232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429484703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15447 + ... + 33129.

It is an arithmetic number, because the mean of its divisors is an integer number (13369104).

Almost surely, 2^429484704 is an apocalyptic number.

429484704 is a gapful number since it is divisible by the number (44) 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 429484704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641716992).

429484704 is an abundant number, since it is smaller than the sum of its proper divisors (853949280).

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

429484704 is a wasteful number, since it uses less digits than its factorization.

429484704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17730 (or 17722 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 429484704 is about 20724.0127388496. The cubic root of 429484704 is about 754.4826091330.

The spelling of 429484704 in words is "four hundred twenty-nine million, four hundred eighty-four thousand, seven hundred four".