429825240 has 192 divisors, whose sum is σ = 1556755200. Its totient is φ = 102122496.

The previous prime is 429825223. The next prime is 429825251. The reversal of 429825240 is 42528924.

429825240 is a `hidden beast` number, since 42 + 98 + 2 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 429825195 and 429825204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134137 + ... + 137303.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^429825240 is an apocalyptic number.

429825240 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 429825240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

429825240 is an abundant number, since it is smaller than the sum of its proper divisors (1126929960).

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

429825240 is a wasteful number, since it uses less digits than its factorization.

429825240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 429825240 is about 20732.2270873151. The cubic root of 429825240 is about 754.6819647884.

The spelling of 429825240 in words is "four hundred twenty-nine million, eight hundred twenty-five thousand, two hundred forty".