429694992 has 120 divisors (see below), whose sum is σ = 1281346560. Its totient is φ = 133954560.

The previous prime is 429694973. The next prime is 429695003. The reversal of 429694992 is 299496924.

It is a super-2 number, since 2×429694992² = 369275572299760128, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467109 + ... + 468027.

It is an arithmetic number, because the mean of its divisors is an integer number (10677888).

Almost surely, 2^429694992 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 429694992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640673280).

429694992 is an abundant number, since it is smaller than the sum of its proper divisors (851651568).

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

429694992 is a wasteful number, since it uses less digits than its factorization.

With its successor (429694993) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1141).

429694992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1132 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 429694992 is about 20729.0856527730. The cubic root of 429694992 is about 754.6057277989.

It can be divided in two parts, 42969 and 4992, that added together give a square (47961 = 219²).

The spelling of 429694992 in words is "four hundred twenty-nine million, six hundred ninety-four thousand, nine hundred ninety-two".