429404976 has 400 divisors, whose sum is σ = 1673726208. Its totient is φ = 102643200.

The previous prime is 429404971. The next prime is 429404977. The reversal of 429404976 is 679404924.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (429404971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297131 + ... + 1297461.

Almost surely, 2^429404976 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 429404976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836863104).

429404976 is an abundant number, since it is smaller than the sum of its proper divisors (1244321232).

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

429404976 is a wasteful number, since it uses less digits than its factorization.

429404976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

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

The square root of 429404976 is about 20722.0890838738. The cubic root of 429404976 is about 754.4359197620.

The spelling of 429404976 in words is "four hundred twenty-nine million, four hundred four thousand, nine hundred seventy-six".