429014040 has 256 divisors, whose sum is σ = 1677957120. Its totient is φ = 85155840.

The previous prime is 429014011. The next prime is 429014059. The reversal of 429014040 is 40410924.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 429014040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184485 + ... + 186795.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2^429014040 is an apocalyptic number.

429014040 is a gapful number since it is divisible by the number (40) 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 429014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838978560).

429014040 is an abundant number, since it is smaller than the sum of its proper divisors (1248943080).

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

429014040 is a wasteful number, since it uses less digits than its factorization.

429014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 429014040 is about 20712.6541032288. The cubic root of 429014040 is about 754.2069007496.

Adding to 429014040 its reverse (40410924), we get a palindrome (469424964).

The spelling of 429014040 in words is "four hundred twenty-nine million, fourteen thousand, forty".