473885640 has 320 divisors, whose sum is σ = 1688385600. Its totient is φ = 119066112.

The previous prime is 473885639. The next prime is 473885653. The reversal of 473885640 is 46588374.

473885640 is a `hidden beast` number, since 4 + 7 + 3 + 88 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7072887 + ... + 7072953.

It is an arithmetic number, because the mean of its divisors is an integer number (5276205).

Almost surely, 2^473885640 is an apocalyptic number.

473885640 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 473885640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844192800).

473885640 is an abundant number, since it is smaller than the sum of its proper divisors (1214499960).

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

473885640 is a wasteful number, since it uses less digits than its factorization.

473885640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 473885640 is about 21768.9145342619. The cubic root of 473885640 is about 779.6347402248.

The spelling of 473885640 in words is "four hundred seventy-three million, eight hundred eighty-five thousand, six hundred forty".