485774209800 has 768 divisors, whose sum is σ = 1892278886400. Its totient is φ = 113477760000.

The previous prime is 485774209777. The next prime is 485774209829. The reversal of 485774209800 is 8902477584.

It is a happy number.

485774209800 is a `hidden beast` number, since 48 + 577 + 4 + 20 + 9 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 609503002 + ... + 609503798.

It is an arithmetic number, because the mean of its divisors is an integer number (2463904800).

Almost surely, 2^485774209800 is an apocalyptic number.

485774209800 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 485774209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946139443200).

485774209800 is an abundant number, since it is smaller than the sum of its proper divisors (1406504676600).

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

485774209800 is a wasteful number, since it uses less digits than its factorization.

485774209800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 485774209800 in words is "four hundred eighty-five billion, seven hundred seventy-four million, two hundred nine thousand, eight hundred".