471761472 has 336 divisors, whose sum is σ = 1618317312. Its totient is φ = 118609920.

The previous prime is 471761467. The next prime is 471761489. The reversal of 471761472 is 274167174.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 471761472.

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, 7041183 + ... + 7041249.

Almost surely, 2^471761472 is an apocalyptic number.

471761472 is a gapful number since it is divisible by the number (42) 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 471761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809158656).

471761472 is an abundant number, since it is smaller than the sum of its proper divisors (1146555840).

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

471761472 is a wasteful number, since it uses less digits than its factorization.

471761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 471761472 is about 21720.0707181169. The cubic root of 471761472 is about 778.4681044860.

The spelling of 471761472 in words is "four hundred seventy-one million, seven hundred sixty-one thousand, four hundred seventy-two".