473905224 has 192 divisors, whose sum is σ = 1448843760. Its totient is φ = 138977280.

The previous prime is 473905151. The next prime is 473905259. The reversal of 473905224 is 422509374.

473905224 is a `hidden beast` number, since 47 + 3 + 90 + 522 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32148900 + 441756324 = 5670^2 + 21018^2 .

It is a super-2 number, since 2×473905224² = 449172322668980352, which contains 22 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 47 ways as a sum of consecutive naturals, for example, 2033812 + ... + 2034044.

Almost surely, 2^473905224 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 473905224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724421880).

473905224 is an abundant number, since it is smaller than the sum of its proper divisors (974938536).

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

473905224 is a wasteful number, since it uses less digits than its factorization.

473905224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 473905224 is about 21769.3643453363. The cubic root of 473905224 is about 779.6454799161.

The spelling of 473905224 in words is "four hundred seventy-three million, nine hundred five thousand, two hundred twenty-four".