470841840 has 240 divisors, whose sum is σ = 1826692608. Its totient is φ = 106458624.

The previous prime is 470841829. The next prime is 470841841. The reversal of 470841840 is 48148074.

It is a happy number.

470841840 is a `hidden beast` number, since 470 + 8 + 4 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 470841795 and 470841804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470841841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 518667 + ... + 519573.

Almost surely, 2^470841840 is an apocalyptic number.

470841840 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 470841840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913346304).

470841840 is an abundant number, since it is smaller than the sum of its proper divisors (1355850768).

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

470841840 is a wasteful number, since it uses less digits than its factorization.

470841840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 470841840 is about 21698.8902942063. The cubic root of 470841840 is about 777.9619377673.

The spelling of 470841840 in words is "four hundred seventy million, eight hundred forty-one thousand, eight hundred forty".