471962880 has 216 divisors, whose sum is σ = 1665904968. Its totient is φ = 123322368.

The previous prime is 471962873. The next prime is 471962929. The reversal of 471962880 is 88269174.

471962880 is a `hidden beast` number, since 4 + 7 + 19 + 628 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 458302464 = 3696^2 + 21408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610174 + ... + 610946.

It is an arithmetic number, because the mean of its divisors is an integer number (7712523).

Almost surely, 2^471962880 is an apocalyptic number.

471962880 is a gapful number since it is divisible by the number (40) 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 471962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832952484).

471962880 is an abundant number, since it is smaller than the sum of its proper divisors (1193942088).

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

471962880 is a wasteful number, since it uses less digits than its factorization.

471962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 471962880 is about 21724.7066723581. The cubic root of 471962880 is about 778.5788719013.

The spelling of 471962880 in words is "four hundred seventy-one million, nine hundred sixty-two thousand, eight hundred eighty".