470985840 has 200 divisors, whose sum is σ = 1761949728. Its totient is φ = 115914240.

The previous prime is 470985803. The next prime is 470985847. The reversal of 470985840 is 48589074.

470985840 is a `hidden beast` number, since 470 + 98 + 58 + 40 = 666.

It is a super-2 number, since 2×470985840² = 443655322961011200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470985847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81445 + ... + 87035.

Almost surely, 2^470985840 is an apocalyptic number.

470985840 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 470985840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880974864).

470985840 is an abundant number, since it is smaller than the sum of its proper divisors (1290963888).

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

470985840 is a wasteful number, since it uses less digits than its factorization.

470985840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 470985840 is about 21702.2081825790. The cubic root of 470985840 is about 778.0412390606.

It can be divided in two parts, 470 and 985840, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 470985840 in words is "four hundred seventy million, nine hundred eighty-five thousand, eight hundred forty".