470829594240 has 1280 divisors, whose sum is σ = 1847449296000. Its totient is φ = 113865523200.

The previous prime is 470829594223. The next prime is 470829594289. The reversal of 470829594240 is 42495928074.

It is a happy number.

470829594240 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 2 + 9 + 594 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3594118975 + ... + 3594119105.

Almost surely, 2^470829594240 is an apocalyptic number.

470829594240 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 470829594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923724648000).

470829594240 is an abundant number, since it is smaller than the sum of its proper divisors (1376619701760).

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

470829594240 is a wasteful number, since it uses less digits than its factorization.

470829594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 470829594240 in words is "four hundred seventy billion, eight hundred twenty-nine million, five hundred ninety-four thousand, two hundred forty".