470481648 has 160 divisors (see below), whose sum is σ = 1574899200. Its totient is φ = 117531648.

The previous prime is 470481623. The next prime is 470481673. The reversal of 470481648 is 846184074.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (470481623) and next prime (470481673).

It is a super-2 number, since 2×470481648² = 442705962209591808, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80158 + ... + 85826.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^470481648 is an apocalyptic number.

470481648 is a gapful number since it is divisible by the number (48) 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 470481648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

470481648 is an abundant number, since it is smaller than the sum of its proper divisors (1104417552).

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

470481648 is a wasteful number, since it uses less digits than its factorization.

470481648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 470481648 is about 21690.5889269978. The cubic root of 470481648 is about 777.7635079710.

The spelling of 470481648 in words is "four hundred seventy million, four hundred eighty-one thousand, six hundred forty-eight".