429430464 has 112 divisors (see below), whose sum is σ = 1270345440. Its totient is φ = 142248960.

The previous prime is 429430459. The next prime is 429430471. The reversal of 429430464 is 464034924.

429430464 is a `hidden beast` number, since 4 + 294 + 304 + 64 = 666.

It is a super-2 number, since 2×429430464² = 368821046822510592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

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, 312082 + ... + 313454.

It is an arithmetic number, because the mean of its divisors is an integer number (11342370).

Almost surely, 2^429430464 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 429430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635172720).

429430464 is an abundant number, since it is smaller than the sum of its proper divisors (840914976).

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

429430464 is a wasteful number, since it uses less digits than its factorization.

429430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 429430464 is about 20722.7040706564. The cubic root of 429430464 is about 754.4508463724.

The spelling of 429430464 in words is "four hundred twenty-nine million, four hundred thirty thousand, four hundred sixty-four".