488041864200 has 480 divisors, whose sum is σ = 1912919976000. Its totient is φ = 114232204800.

The previous prime is 488041864169. The next prime is 488041864217. The reversal of 488041864200 is 2468140884.

488041864200 is a `hidden beast` number, since 48 + 8 + 0 + 4 + 186 + 420 + 0 = 666.

It is a super-2 number, since 2×488041864200² (a number of 24 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 5120581 + ... + 5215019.

It is an arithmetic number, because the mean of its divisors is an integer number (3985249950).

Almost surely, 2^488041864200 is an apocalyptic number.

488041864200 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 488041864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956459988000).

488041864200 is an abundant number, since it is smaller than the sum of its proper divisors (1424878111800).

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

488041864200 is a wasteful number, since it uses less digits than its factorization.

488041864200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94507 (or 94489 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 488041864200 in words is "four hundred eighty-eight billion, forty-one million, eight hundred sixty-four thousand, two hundred".