470839680 has 192 divisors, whose sum is σ = 1664554320. Its totient is φ = 122572800.

The previous prime is 470839657. The next prime is 470839709. The reversal of 470839680 is 86938074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246730 + ... + 248630.

Almost surely, 2^470839680 is an apocalyptic number.

470839680 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 470839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832277160).

470839680 is an abundant number, since it is smaller than the sum of its proper divisors (1193714640).

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

470839680 is a wasteful number, since it uses less digits than its factorization.

470839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 470839680 is about 21698.8405220187. The cubic root of 470839680 is about 777.9607481249.

The spelling of 470839680 in words is "four hundred seventy million, eight hundred thirty-nine thousand, six hundred eighty".