4905784800 has 864 divisors, whose sum is σ = 21448627200. Its totient is φ = 1030164480.

The previous prime is 4905784799. The next prime is 4905784811. The reversal of 4905784800 is 84875094.

4905784800 is a `hidden beast` number, since 490 + 5 + 7 + 84 + 80 + 0 = 666.

It is a super-2 number, since 2×4905784800² = 48133449007822080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45007146 + ... + 45007254.

It is an arithmetic number, because the mean of its divisors is an integer number (24824800).

Almost surely, 2^4905784800 is an apocalyptic number.

4905784800 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 4905784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724313600).

4905784800 is an abundant number, since it is smaller than the sum of its proper divisors (16542842400).

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

4905784800 is a wasteful number, since it uses less digits than its factorization.

4905784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4905784800 is about 70041.3078118905. The cubic root of 4905784800 is about 1699.1673892791.

The spelling of 4905784800 in words is "four billion, nine hundred five million, seven hundred eighty-four thousand, eight hundred".