429662772 has 288 divisors, whose sum is σ = 1448657280. Its totient is φ = 109771200.

The previous prime is 429662731. The next prime is 429662773. The reversal of 429662772 is 277266924.

It is a super-2 number, since 2×429662772² = 369220195285447968, which contains 22 as substring.

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

Its product of digits (508032) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429662773) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7043622 + ... + 7043682.

It is an arithmetic number, because the mean of its divisors is an integer number (5030060).

Almost surely, 2^429662772 is an apocalyptic number.

429662772 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 429662772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724328640).

429662772 is an abundant number, since it is smaller than the sum of its proper divisors (1018994508).

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

429662772 is a wasteful number, since it uses less digits than its factorization.

429662772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 429662772 is about 20728.3084693373. The cubic root of 429662772 is about 754.5868663548.

The spelling of 429662772 in words is "four hundred twenty-nine million, six hundred sixty-two thousand, seven hundred seventy-two".