1484806400 has 432 divisors, whose sum is σ = 4817691648. Its totient is φ = 439296000.

The previous prime is 1484806399. The next prime is 1484806439. The reversal of 1484806400 is 46084841.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11334335 + ... + 11334465.

It is an arithmetic number, because the mean of its divisors is an integer number (11152064).

Almost surely, 2^1484806400 is an apocalyptic number.

1484806400 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 1484806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408845824).

1484806400 is an abundant number, since it is smaller than the sum of its proper divisors (3332885248).

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

1484806400 is a wasteful number, since it uses less digits than its factorization.

1484806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 1484806400 is about 38533.1856975257. The cubic root of 1484806400 is about 1140.8361568416.

The spelling of 1484806400 in words is "one billion, four hundred eighty-four million, eight hundred six thousand, four hundred".