473033088 has 256 divisors, whose sum is σ = 1592179200. Its totient is φ = 136857600.

The previous prime is 473033081. The next prime is 473033089. The reversal of 473033088 is 880330374.

473033088 is a `hidden beast` number, since 47 + 303 + 308 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473033081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874098 + ... + 874638.

It is an arithmetic number, because the mean of its divisors is an integer number (6219450).

Almost surely, 2^473033088 is an apocalyptic number.

473033088 is a gapful number since it is divisible by the number (48) 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 473033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796089600).

473033088 is an abundant number, since it is smaller than the sum of its proper divisors (1119146112).

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

473033088 is a wasteful number, since it uses less digits than its factorization.

473033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 473033088 is about 21749.3238515592. The cubic root of 473033088 is about 779.1669211981.

The spelling of 473033088 in words is "four hundred seventy-three million, thirty-three thousand, eighty-eight".