473482813440 has 1344 divisors, whose sum is σ = 1988029080576. Its totient is φ = 95192875008.

The previous prime is 473482813381. The next prime is 473482813469. The reversal of 473482813440 is 44318284374.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 473482813440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1800314749 + ... + 1800315011.

It is an arithmetic number, because the mean of its divisors is an integer number (1479188304).

Almost surely, 2^473482813440 is an apocalyptic number.

473482813440 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 473482813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994014540288).

473482813440 is an abundant number, since it is smaller than the sum of its proper divisors (1514546267136).

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

473482813440 is a wasteful number, since it uses less digits than its factorization.

473482813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 473482813440 in words is "four hundred seventy-three billion, four hundred eighty-two million, eight hundred thirteen thousand, four hundred forty".