429970464 has 384 divisors, whose sum is σ = 1637314560. Its totient is φ = 106444800.

The previous prime is 429970421. The next prime is 429970469. The reversal of 429970464 is 464079924.

It is not an unprimeable number, because it can be changed into a prime (429970469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530004 + ... + 1530284.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2^429970464 is an apocalyptic number.

429970464 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 429970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818657280).

429970464 is an abundant number, since it is smaller than the sum of its proper divisors (1207344096).

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

429970464 is a wasteful number, since it uses less digits than its factorization.

429970464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

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

The square root of 429970464 is about 20735.7291648980. The cubic root of 429970464 is about 754.7669493997.

The spelling of 429970464 in words is "four hundred twenty-nine million, nine hundred seventy thousand, four hundred sixty-four".