470846520 has 224 divisors, whose sum is σ = 1618776720. Its totient is φ = 123171840.

The previous prime is 470846503. The next prime is 470846549. The reversal of 470846520 is 25648074.

It is a super-3 number, since 3×470846520³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 55 ways as a sum of consecutive naturals, for example, 1953600 + ... + 1953840.

Almost surely, 2^470846520 is an apocalyptic number.

470846520 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 470846520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809388360).

470846520 is an abundant number, since it is smaller than the sum of its proper divisors (1147930200).

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

470846520 is a wasteful number, since it uses less digits than its factorization.

470846520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 470846520 is about 21698.9981335545. The cubic root of 470846520 is about 777.9645153136.

The spelling of 470846520 in words is "four hundred seventy million, eight hundred forty-six thousand, five hundred twenty".