473949360 has 160 divisors (see below), whose sum is σ = 1660608000. Its totient is φ = 124210944.

The previous prime is 473949347. The next prime is 473949379. The reversal of 473949360 is 63949374.

473949360 is a `hidden beast` number, since 473 + 94 + 93 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125581 + ... + 129299.

It is an arithmetic number, because the mean of its divisors is an integer number (10378800).

Almost surely, 2^473949360 is an apocalyptic number.

473949360 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 473949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304000).

473949360 is an abundant number, since it is smaller than the sum of its proper divisors (1186658640).

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

473949360 is a wasteful number, since it uses less digits than its factorization.

473949360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 473949360 is about 21770.3780398963. The cubic root of 473949360 is about 779.6696826209.

The spelling of 473949360 in words is "four hundred seventy-three million, nine hundred forty-nine thousand, three hundred sixty".