470784640423248 has 480 divisors, whose sum is σ = 1462316549750784. Its totient is φ = 146110979782656.

The previous prime is 470784640423241. The next prime is 470784640423291. The reversal of 470784640423248 is 842324046487074.

470784640423248 is a `hidden beast` number, since 4 + 70 + 7 + 84 + 6 + 40 + 423 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470784640423241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2912703811 + ... + 2912865437.

Almost surely, 2^{470784640423248} is an apocalyptic number.

470784640423248 is a gapful number since it is divisible by the number (48) 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 470784640423248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731158274875392).

470784640423248 is an abundant number, since it is smaller than the sum of its proper divisors (991531909327536).

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

470784640423248 is a wasteful number, since it uses less digits than its factorization.

470784640423248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162141 (or 162123 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 63.

The spelling of 470784640423248 in words is "four hundred seventy trillion, seven hundred eighty-four billion, six hundred forty million, four hundred twenty-three thousand, two hundred forty-eight".