471464784 has 240 divisors, whose sum is σ = 1609420800. Its totient is φ = 125846784.

The previous prime is 471464761. The next prime is 471464797. The reversal of 471464784 is 487464174.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1972537 + ... + 1972775.

It is an arithmetic number, because the mean of its divisors is an integer number (6705920).

Almost surely, 2^471464784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471464784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804710400).

471464784 is an abundant number, since it is smaller than the sum of its proper divisors (1137956016).

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

471464784 is a wasteful number, since it uses less digits than its factorization.

471464784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 471464784 is about 21713.2398319551. The cubic root of 471464784 is about 778.3048789349.

The spelling of 471464784 in words is "four hundred seventy-one million, four hundred sixty-four thousand, seven hundred eighty-four".