471475620 has 768 divisors, whose sum is σ = 2090188800. Its totient is φ = 85155840.

The previous prime is 471475601. The next prime is 471475657. The reversal of 471475620 is 26574174.

It is a super-3 number, since 3×471475620³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16257766 + ... + 16257794.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^471475620 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 471475620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

471475620 is an abundant number, since it is smaller than the sum of its proper divisors (1618713180).

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

471475620 is a wasteful number, since it uses less digits than its factorization.

471475620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 471475620 is about 21713.4893556978. The cubic root of 471475620 is about 778.3108416616.

The spelling of 471475620 in words is "four hundred seventy-one million, four hundred seventy-five thousand, six hundred twenty".