4985452800 has 540 divisors, whose sum is σ = 18860928240. Its totient is φ = 1298903040.

The previous prime is 4985452757. The next prime is 4985452831. The reversal of 4985452800 is 82545894.

4985452800 is a `hidden beast` number, since 49 + 85 + 4 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30585519 + ... + 30585681.

Almost surely, 2^4985452800 is an apocalyptic number.

4985452800 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 4985452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430464120).

4985452800 is an abundant number, since it is smaller than the sum of its proper divisors (13875475440).

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

4985452800 is a wasteful number, since it uses less digits than its factorization.

4985452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 4985452800 is about 70607.7389526106. The cubic root of 4985452800 is about 1708.3159783021.

The spelling of 4985452800 in words is "four billion, nine hundred eighty-five million, four hundred fifty-two thousand, eight hundred".