470042024760 has 1024 divisors, whose sum is σ = 2042236108800. Its totient is φ = 94478400000.

The previous prime is 470042024663. The next prime is 470042024783. The reversal of 470042024760 is 67420240074.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208813635 + ... + 208815885.

It is an arithmetic number, because the mean of its divisors is an integer number (1994371200).

Almost surely, 2^470042024760 is an apocalyptic number.

470042024760 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 470042024760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021118054400).

470042024760 is an abundant number, since it is smaller than the sum of its proper divisors (1572194084040).

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

470042024760 is a wasteful number, since it uses less digits than its factorization.

470042024760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 470042024760 in words is "four hundred seventy billion, forty-two million, twenty-four thousand, seven hundred sixty".