1473085440 has 384 divisors, whose sum is σ = 5438880720. Its totient is φ = 382205952.

The previous prime is 1473085387. The next prime is 1473085459. The reversal of 1473085440 is 445803741.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1473085395 and 1473085404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39813102 + ... + 39813138.

Almost surely, 2^1473085440 is an apocalyptic number.

1473085440 is a gapful number since it is divisible by the number (10) 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 1473085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719440360).

1473085440 is an abundant number, since it is smaller than the sum of its proper divisors (3965795280).

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

1473085440 is an frugal number, since it uses more digits than its factorization.

1473085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1473085440 is about 38380.7951975985. The cubic root of 1473085440 is about 1137.8263289467.

The spelling of 1473085440 in words is "one billion, four hundred seventy-three million, eighty-five thousand, four hundred forty".