473005440 has 256 divisors, whose sum is σ = 1731225600. Its totient is φ = 121927680.

The previous prime is 473005387. The next prime is 473005441. The reversal of 473005440 is 44500374.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473005441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535239 + ... + 536121.

It is an arithmetic number, because the mean of its divisors is an integer number (6762600).

Almost surely, 2^473005440 is an apocalyptic number.

473005440 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 473005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865612800).

473005440 is an abundant number, since it is smaller than the sum of its proper divisors (1258220160).

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

473005440 is a wasteful number, since it uses less digits than its factorization.

473005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 473005440 is about 21748.6882363052. The cubic root of 473005440 is about 779.1517405639.

The spelling of 473005440 in words is "four hundred seventy-three million, five thousand, four hundred forty".