471344832 has 280 divisors, whose sum is σ = 1652259840. Its totient is φ = 130014720.

The previous prime is 471344827. The next prime is 471344849. The reversal of 471344832 is 238443174.

471344832 is a `hidden beast` number, since 47 + 134 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124719 + ... + 1125137.

It is an arithmetic number, because the mean of its divisors is an integer number (5900928).

Almost surely, 2^471344832 is an apocalyptic number.

471344832 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 471344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826129920).

471344832 is an abundant number, since it is smaller than the sum of its proper divisors (1180915008).

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

471344832 is a wasteful number, since it uses less digits than its factorization.

471344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 471344832 is about 21710.4774705671. The cubic root of 471344832 is about 778.2388668319.

The spelling of 471344832 in words is "four hundred seventy-one million, three hundred forty-four thousand, eight hundred thirty-two".