473777960 has 64 divisors (see below), whose sum is σ = 1127347200. Its totient is φ = 178905600.

The previous prime is 473777893. The next prime is 473777963. The reversal of 473777960 is 69777374.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 473777899 and 473777908.

It is not an unprimeable number, because it can be changed into a prime (473777963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46181 + ... + 55499.

It is an arithmetic number, because the mean of its divisors is an integer number (17614800).

Almost surely, 2^473777960 is an apocalyptic number.

473777960 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 473777960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563673600).

473777960 is an abundant number, since it is smaller than the sum of its proper divisors (653569240).

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

473777960 is a wasteful number, since it uses less digits than its factorization.

473777960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 50.

The square root of 473777960 is about 21766.4411422722. The cubic root of 473777960 is about 779.5756841846.

The spelling of 473777960 in words is "four hundred seventy-three million, seven hundred seventy-seven thousand, nine hundred sixty".