473768064 has 384 divisors, whose sum is σ = 1750320000. Its totient is φ = 121927680.

The previous prime is 473768063. The next prime is 473768069. The reversal of 473768064 is 460867374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473768063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346442 + ... + 4346550.

It is an arithmetic number, because the mean of its divisors is an integer number (4558125).

Almost surely, 2^473768064 is an apocalyptic number.

473768064 is a gapful number since it is divisible by the number (44) 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 473768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875160000).

473768064 is an abundant number, since it is smaller than the sum of its proper divisors (1276551936).

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

473768064 is a wasteful number, since it uses less digits than its factorization.

473768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 473768064 is about 21766.2138186686. The cubic root of 473768064 is about 779.5702563714.

The spelling of 473768064 in words is "four hundred seventy-three million, seven hundred sixty-eight thousand, sixty-four".