473647720 has 192 divisors, whose sum is σ = 1383253200. Its totient is φ = 144506880.

The previous prime is 473647711. The next prime is 473647747. The reversal of 473647720 is 27746374.

It can be written as a sum of positive squares in 8 ways, for example, as 227346084 + 246301636 = 15078^2 + 15694^2 .

It is a super-2 number, since 2×473647720² = 448684325322396800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 738600 + ... + 739240.

Almost surely, 2^473647720 is an apocalyptic number.

473647720 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 473647720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691626600).

473647720 is an abundant number, since it is smaller than the sum of its proper divisors (909605480).

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

473647720 is a wasteful number, since it uses less digits than its factorization.

473647720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 40.

The square root of 473647720 is about 21763.4491751652. The cubic root of 473647720 is about 779.5042433756.

The spelling of 473647720 in words is "four hundred seventy-three million, six hundred forty-seven thousand, seven hundred twenty".