429781240 has 64 divisors (see below), whose sum is σ = 1126042560. Its totient is φ = 144568320.

The previous prime is 429781237. The next prime is 429781249. The reversal of 429781240 is 42187924.

429781240 = 245² + 246² + ... + 1092².

It is a self number, because there is not a number n which added to its sum of digits gives 429781240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429781249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360 + ... + 29320.

It is an arithmetic number, because the mean of its divisors is an integer number (17594415).

Almost surely, 2^429781240 is an apocalyptic number.

429781240 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 429781240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563021280).

429781240 is an abundant number, since it is smaller than the sum of its proper divisors (696261320).

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

429781240 is a wasteful number, since it uses less digits than its factorization.

429781240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032 (or 29028 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 429781240 is about 20731.1659102907. The cubic root of 429781240 is about 754.6562123535.

The spelling of 429781240 in words is "four hundred twenty-nine million, seven hundred eighty-one thousand, two hundred forty".