429722496 has 320 divisors, whose sum is σ = 1516584960. Its totient is φ = 118195200.

The previous prime is 429722471. The next prime is 429722497. The reversal of 429722496 is 694227924.

It is a happy number.

It is a super-2 number, since 2×429722496² = 369322847136940032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429722497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249761 + ... + 2249951.

It is an arithmetic number, because the mean of its divisors is an integer number (4739328).

Almost surely, 2^429722496 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 429722496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758292480).

429722496 is an abundant number, since it is smaller than the sum of its proper divisors (1086862464).

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

429722496 is a wasteful number, since it uses less digits than its factorization.

429722496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

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

The square root of 429722496 is about 20729.7490578154. The cubic root of 429722496 is about 754.6218277718.

The spelling of 429722496 in words is "four hundred twenty-nine million, seven hundred twenty-two thousand, four hundred ninety-six".