473825280 has 144 divisors (see below), whose sum is σ = 1522526544. Its totient is φ = 125829120.

The previous prime is 473825263. The next prime is 473825321. The reversal of 473825280 is 82528374.

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 7 ways as a sum of consecutive naturals, for example, 1965960 + ... + 1966200.

It is an arithmetic number, because the mean of its divisors is an integer number (10573101).

Almost surely, 2^473825280 is an apocalyptic number.

473825280 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 473825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761263272).

473825280 is an abundant number, since it is smaller than the sum of its proper divisors (1048701264).

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

473825280 is an frugal number, since it uses more digits than its factorization.

473825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 473825280 is about 21767.5281095489. The cubic root of 473825280 is about 779.6016374766.

The spelling of 473825280 in words is "four hundred seventy-three million, eight hundred twenty-five thousand, two hundred eighty".