473528640 has 224 divisors, whose sum is σ = 1705173120. Its totient is φ = 110370816.

The previous prime is 473528633. The next prime is 473528677. The reversal of 473528640 is 46825374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236122 + ... + 238118.

It is an arithmetic number, because the mean of its divisors is an integer number (7612380).

Almost surely, 2^473528640 is an apocalyptic number.

473528640 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 473528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852586560).

473528640 is an abundant number, since it is smaller than the sum of its proper divisors (1231644480).

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

473528640 is a wasteful number, since it uses less digits than its factorization.

473528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 473528640 is about 21760.7132236055. The cubic root of 473528640 is about 779.4389127221.

The spelling of 473528640 in words is "four hundred seventy-three million, five hundred twenty-eight thousand, six hundred forty".