473507440 has 160 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 153280512.

The previous prime is 473507431. The next prime is 473507453. The reversal of 473507440 is 44705374.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 473507396 and 473507405.

It is a congruent number.

It is an unprimeable number.

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, 1249171 + ... + 1249549.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^473507440 is an apocalyptic number.

473507440 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 473507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

473507440 is an abundant number, since it is smaller than the sum of its proper divisors (856407440).

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

473507440 is a wasteful number, since it uses less digits than its factorization.

473507440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 473507440 is about 21760.2261017665. The cubic root of 473507440 is about 779.4272806544.

The spelling of 473507440 in words is "four hundred seventy-three million, five hundred seven thousand, four hundred forty".