470940840 has 192 divisors, whose sum is σ = 1663833600. Its totient is φ = 115084800.

The previous prime is 470940839. The next prime is 470940887. The reversal of 470940840 is 48049074.

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 = 470940795 and 470940804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210930 + ... + 213150.

It is an arithmetic number, because the mean of its divisors is an integer number (8665800).

Almost surely, 2^470940840 is an apocalyptic number.

470940840 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 470940840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831916800).

470940840 is an abundant number, since it is smaller than the sum of its proper divisors (1192892760).

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

470940840 is a wasteful number, since it uses less digits than its factorization.

470940840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 470940840 is about 21701.1713969546. The cubic root of 470940840 is about 778.0164591430.

The spelling of 470940840 in words is "four hundred seventy million, nine hundred forty thousand, eight hundred forty".