473679360 has 640 divisors, whose sum is σ = 2121292800. Its totient is φ = 97320960.

The previous prime is 473679343. The next prime is 473679361. The reversal of 473679360 is 63976374.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473679361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322196 + ... + 5322284.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^473679360 is an apocalyptic number.

473679360 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 473679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060646400).

473679360 is an abundant number, since it is smaller than the sum of its proper divisors (1647613440).

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

473679360 is a wasteful number, since it uses less digits than its factorization.

473679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 473679360 is about 21764.1760698631. The cubic root of 473679360 is about 779.5216001326.

The spelling of 473679360 in words is "four hundred seventy-three million, six hundred seventy-nine thousand, three hundred sixty".