429492672 has 112 divisors (see below), whose sum is σ = 1443045120. Its totient is φ = 122708736.

The previous prime is 429492667. The next prime is 429492677. The reversal of 429492672 is 276294924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (429492667) and next prime (429492677).

It is a tau number, because it is divible by the number of its divisors (112).

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 (429492677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5658 + ... + 29849.

Almost surely, 2^429492672 is an apocalyptic number.

429492672 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 429492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721522560).

429492672 is an abundant number, since it is smaller than the sum of its proper divisors (1013552448).

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

429492672 is a wasteful number, since it uses less digits than its factorization.

429492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35535 (or 35519 counting only the distinct ones).

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

The square root of 429492672 is about 20724.2049787199. The cubic root of 429492672 is about 754.4872749416.

The spelling of 429492672 in words is "four hundred twenty-nine million, four hundred ninety-two thousand, six hundred seventy-two".