429287040 has 720 divisors, whose sum is σ = 1931091030. Its totient is φ = 90574848.

The previous prime is 429287021. The next prime is 429287093. The reversal of 429287040 is 40782924.

It can be written as a sum of positive squares in 3 ways, for example, as 185177664 + 244109376 = 13608^2 + 15624^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 429286986 and 429287004.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 33022074 + ... + 33022086.

Almost surely, 2^429287040 is an apocalyptic number.

429287040 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 429287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965545515).

429287040 is an abundant number, since it is smaller than the sum of its proper divisors (1501803990).

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

429287040 is a wasteful number, since it uses less digits than its factorization.

429287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 429287040 is about 20719.2432294232. The cubic root of 429287040 is about 754.3668448743.

The spelling of 429287040 in words is "four hundred twenty-nine million, two hundred eighty-seven thousand, forty".