473975040 has 432 divisors, whose sum is σ = 1929372480. Its totient is φ = 98058240.

The previous prime is 473975039. The next prime is 473975071. The reversal of 473975040 is 40579374.

It is a self number, because there is not a number n which added to its sum of digits gives 473975040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069646 + ... + 2069874.

It is an arithmetic number, because the mean of its divisors is an integer number (4466140).

Almost surely, 2^473975040 is an apocalyptic number.

473975040 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 473975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964686240).

473975040 is an abundant number, since it is smaller than the sum of its proper divisors (1455397440).

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

473975040 is a wasteful number, since it uses less digits than its factorization.

473975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 473975040 is about 21770.9678241460. The cubic root of 473975040 is about 779.6837639817.

The spelling of 473975040 in words is "four hundred seventy-three million, nine hundred seventy-five thousand, forty".