429488136 has 512 divisors, whose sum is σ = 1658880000. Its totient is φ = 101606400.

The previous prime is 429488113. The next prime is 429488207. The reversal of 429488136 is 631884924.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 429488091 and 429488100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13854441 + ... + 13854471.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^429488136 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 429488136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440000).

429488136 is an abundant number, since it is smaller than the sum of its proper divisors (1229391864).

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

429488136 is a wasteful number, since it uses less digits than its factorization.

429488136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 429488136 is about 20724.0955411810. The cubic root of 429488136 is about 754.4846188107.

The spelling of 429488136 in words is "four hundred twenty-nine million, four hundred eighty-eight thousand, one hundred thirty-six".