470246880 has 96 divisors (see below), whose sum is σ = 1489096224. Its totient is φ = 124737536.

The previous prime is 470246873. The next prime is 470246927. The reversal of 470246880 is 88642074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×470246880² = 442264256299468800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92074 + ... + 97046.

It is an arithmetic number, because the mean of its divisors is an integer number (15511419).

Almost surely, 2^470246880 is an apocalyptic number.

470246880 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 470246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744548112).

470246880 is an abundant number, since it is smaller than the sum of its proper divisors (1018849344).

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

470246880 is a wasteful number, since it uses less digits than its factorization.

470246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 470246880 is about 21685.1765037779. The cubic root of 470246880 is about 777.6341197412.

The spelling of 470246880 in words is "four hundred seventy million, two hundred forty-six thousand, eight hundred eighty".