473732064 has 240 divisors, whose sum is σ = 1590584688. Its totient is φ = 137023488.

The previous prime is 473732029. The next prime is 473732087. The reversal of 473732064 is 460237374.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572419 + ... + 573245.

Almost surely, 2^473732064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795292344).

473732064 is an abundant number, since it is smaller than the sum of its proper divisors (1116852624).

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

473732064 is a wasteful number, since it uses less digits than its factorization.

473732064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 473732064 is about 21765.3868332267. The cubic root of 473732064 is about 779.5505102536.

The spelling of 473732064 in words is "four hundred seventy-three million, seven hundred thirty-two thousand, sixty-four".