470327040 has 288 divisors, whose sum is σ = 1726771200. Its totient is φ = 121098240.

The previous prime is 470327021. The next prime is 470327041. The reversal of 470327040 is 40723074.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 470326995 and 470327013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470327041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071141 + ... + 1071579.

Almost surely, 2^470327040 is an apocalyptic number.

470327040 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 470327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863385600).

470327040 is an abundant number, since it is smaller than the sum of its proper divisors (1256444160).

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

470327040 is a wasteful number, since it uses less digits than its factorization.

470327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 470327040 is about 21687.0246921979. The cubic root of 470327040 is about 777.6783033477.

The spelling of 470327040 in words is "four hundred seventy million, three hundred twenty-seven thousand, forty".