473719680 has 384 divisors, whose sum is σ = 1934899200. Its totient is φ = 104509440.

The previous prime is 473719679. The next prime is 473719693. The reversal of 473719680 is 86917374.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249731 + ... + 1250109.

It is an arithmetic number, because the mean of its divisors is an integer number (5038800).

Almost surely, 2^473719680 is an apocalyptic number.

473719680 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 473719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967449600).

473719680 is an abundant number, since it is smaller than the sum of its proper divisors (1461179520).

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

473719680 is a wasteful number, since it uses less digits than its factorization.

473719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 473719680 is about 21765.1023429710. The cubic root of 473719680 is about 779.5437173578.

The spelling of 473719680 in words is "four hundred seventy-three million, seven hundred nineteen thousand, six hundred eighty".