473576832 has 192 divisors, whose sum is σ = 1432080000. Its totient is φ = 150036480.

The previous prime is 473576813. The next prime is 473576867. The reversal of 473576832 is 238675374.

473576832 is a `hidden beast` number, since 4 + 73 + 576 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3178294 + ... + 3178442.

It is an arithmetic number, because the mean of its divisors is an integer number (7458750).

Almost surely, 2^473576832 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 473576832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716040000).

473576832 is an abundant number, since it is smaller than the sum of its proper divisors (958503168).

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

473576832 is a wasteful number, since it uses less digits than its factorization.

473576832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 473576832 is about 21761.8205120803. The cubic root of 473576832 is about 779.4653535345.

The spelling of 473576832 in words is "four hundred seventy-three million, five hundred seventy-six thousand, eight hundred thirty-two".