473745888 has 192 divisors, whose sum is σ = 1722954240. Its totient is φ = 123033600.

The previous prime is 473745887. The next prime is 473745889. The reversal of 473745888 is 888547374.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (473745887) and next prime (473745889).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473745887) 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, 62968 + ... + 70088.

It is an arithmetic number, because the mean of its divisors is an integer number (8973720).

Almost surely, 2^473745888 is an apocalyptic number.

473745888 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 473745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861477120).

473745888 is an abundant number, since it is smaller than the sum of its proper divisors (1249208352).

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

473745888 is a wasteful number, since it uses less digits than its factorization.

473745888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7144 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 473745888 is about 21765.7043993527. The cubic root of 473745888 is about 779.5580928811.

It can be divided in two parts, 4737 and 45888, that added together give a 4-th power (50625 = 15⁴).

The spelling of 473745888 in words is "four hundred seventy-three million, seven hundred forty-five thousand, eight hundred eighty-eight".