473399040 has 288 divisors, whose sum is σ = 1605897216. Its totient is φ = 118702080.

The previous prime is 473399027. The next prime is 473399057. The reversal of 473399040 is 40993374.

It is a self number, because there is not a number n which added to its sum of digits gives 473399040.

It is a congruent number.

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, 7760610 + ... + 7760670.

It is an arithmetic number, because the mean of its divisors is an integer number (5576032).

Almost surely, 2^473399040 is an apocalyptic number.

473399040 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 473399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802948608).

473399040 is an abundant number, since it is smaller than the sum of its proper divisors (1132498176).

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

473399040 is a wasteful number, since it uses less digits than its factorization.

473399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 473399040 is about 21757.7351762540. The cubic root of 473399040 is about 779.3677980512.

The spelling of 473399040 in words is "four hundred seventy-three million, three hundred ninety-nine thousand, forty".