1473940800 has 504 divisors, whose sum is σ = 5778130176. Its totient is φ = 368271360.

The previous prime is 1473940771. The next prime is 1473940859. The reversal of 1473940800 is 80493741.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6609489 + ... + 6609711.

It is an arithmetic number, because the mean of its divisors is an integer number (11464544).

Almost surely, 2^1473940800 is an apocalyptic number.

1473940800 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 1473940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889065088).

1473940800 is an abundant number, since it is smaller than the sum of its proper divisors (4304189376).

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

1473940800 is a wasteful number, since it uses less digits than its factorization.

1473940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1473940800 is about 38391.9366534172. The cubic root of 1473940800 is about 1138.0465159518.

The spelling of 1473940800 in words is "one billion, four hundred seventy-three million, nine hundred forty thousand, eight hundred".