471248640 has 216 divisors, whose sum is σ = 1717082640. Its totient is φ = 118996992.

The previous prime is 471248623. The next prime is 471248647. The reversal of 471248640 is 46842174.

471248640 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 4 + 8 + 640 = 666.

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 = 471248595 and 471248604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471248647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217804 + ... + 219956.

Almost surely, 2^471248640 is an apocalyptic number.

471248640 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 471248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858541320).

471248640 is an abundant number, since it is smaller than the sum of its proper divisors (1245834000).

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

471248640 is a wasteful number, since it uses less digits than its factorization.

471248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 471248640 is about 21708.2620216359. The cubic root of 471248640 is about 778.1859222635.

The spelling of 471248640 in words is "four hundred seventy-one million, two hundred forty-eight thousand, six hundred forty".