470586480 has 320 divisors, whose sum is σ = 1859880960. Its totient is φ = 95735808.

The previous prime is 470586449. The next prime is 470586491. The reversal of 470586480 is 84685074.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632989 + ... + 633731.

It is an arithmetic number, because the mean of its divisors is an integer number (5812128).

Almost surely, 2^470586480 is an apocalyptic number.

470586480 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 470586480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929940480).

470586480 is an abundant number, since it is smaller than the sum of its proper divisors (1389294480).

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

470586480 is a wasteful number, since it uses less digits than its factorization.

470586480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 470586480 is about 21693.0053242975. The cubic root of 470586480 is about 777.8212703721.

The spelling of 470586480 in words is "four hundred seventy million, five hundred eighty-six thousand, four hundred eighty".