473946480 has 240 divisors, whose sum is σ = 1831025664. Its totient is φ = 107619840.

The previous prime is 473946463. The next prime is 473946491. The reversal of 473946480 is 84649374.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365667 + ... + 1366013.

Almost surely, 2^473946480 is an apocalyptic number.

473946480 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 473946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915512832).

473946480 is an abundant number, since it is smaller than the sum of its proper divisors (1357079184).

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

473946480 is a wasteful number, since it uses less digits than its factorization.

473946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 473946480 is about 21770.3118948719. The cubic root of 473946480 is about 779.6681033711.

The spelling of 473946480 in words is "four hundred seventy-three million, nine hundred forty-six thousand, four hundred eighty".