471880512 has 224 divisors, whose sum is σ = 1498152960. Its totient is φ = 145221120.

The previous prime is 471880501. The next prime is 471880537. The reversal of 471880512 is 215088174.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231873 + ... + 1232255.

Almost surely, 2^471880512 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 471880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749076480).

471880512 is an abundant number, since it is smaller than the sum of its proper divisors (1026272448).

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

471880512 is a wasteful number, since it uses less digits than its factorization.

471880512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 471880512 is about 21722.8108678412. The cubic root of 471880512 is about 778.5335761670.

The spelling of 471880512 in words is "four hundred seventy-one million, eight hundred eighty thousand, five hundred twelve".