473072500440 has 320 divisors, whose sum is σ = 1661145615360. Its totient is φ = 120610218240.

The previous prime is 473072500379. The next prime is 473072500441. The reversal of 473072500440 is 44005270374.

473072500440 is a `hidden beast` number, since 47 + 3 + 0 + 72 + 500 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 473072500395 and 473072500404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473072500441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8308147 + ... + 8364893.

It is an arithmetic number, because the mean of its divisors is an integer number (5191080048).

Almost surely, 2^473072500440 is an apocalyptic number.

473072500440 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 473072500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830572807680).

473072500440 is an abundant number, since it is smaller than the sum of its proper divisors (1188073114920).

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

473072500440 is a wasteful number, since it uses less digits than its factorization.

473072500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56884 (or 56871 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 473072500440 in words is "four hundred seventy-three billion, seventy-two million, five hundred thousand, four hundred forty".