473759832 has 256 divisors, whose sum is σ = 1572480000. Its totient is φ = 117863424.

The previous prime is 473759827. The next prime is 473759843. The reversal of 473759832 is 238957374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2033188 + ... + 2033420.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2^473759832 is an apocalyptic number.

473759832 is a gapful number since it is divisible by the number (42) 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 473759832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

473759832 is an abundant number, since it is smaller than the sum of its proper divisors (1098720168).

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

473759832 is a wasteful number, since it uses less digits than its factorization.

473759832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 473759832 is about 21766.0247174352. The cubic root of 473759832 is about 779.5657411807.

The spelling of 473759832 in words is "four hundred seventy-three million, seven hundred fifty-nine thousand, eight hundred thirty-two".