429698052 has 288 divisors, whose sum is σ = 1415232000. Its totient is φ = 109283328.

The previous prime is 429698047. The next prime is 429698063. The reversal of 429698052 is 250896924.

It is a junction number, because it is equal to n+sod(n) for n = 429697989 and 429698007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4828024 + ... + 4828112.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^429698052 is an apocalyptic number.

429698052 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 429698052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

429698052 is an abundant number, since it is smaller than the sum of its proper divisors (985533948).

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

429698052 is a wasteful number, since it uses less digits than its factorization.

429698052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 429698052 is about 20729.1594619753. The cubic root of 429698052 is about 754.6075190602.

The spelling of 429698052 in words is "four hundred twenty-nine million, six hundred ninety-eight thousand, fifty-two".