470258880 has 336 divisors, whose sum is σ = 1872874080. Its totient is φ = 99090432.

The previous prime is 470258861. The next prime is 470258891. The reversal of 470258880 is 88852074.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×470258880² = 442286828437708800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 611136 + ... + 611904.

It is an arithmetic number, because the mean of its divisors is an integer number (5574030).

Almost surely, 2^470258880 is an apocalyptic number.

470258880 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 470258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936437040).

470258880 is an abundant number, since it is smaller than the sum of its proper divisors (1402615200).

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

470258880 is a wasteful number, since it uses less digits than its factorization.

470258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 470258880 is about 21685.4531887162. The cubic root of 470258880 is about 777.6407343731.

The spelling of 470258880 in words is "four hundred seventy million, two hundred fifty-eight thousand, eight hundred eighty".