490467700800 has 2352 divisors, whose sum is σ = 2326587850752. Its totient is φ = 98761420800.

The previous prime is 490467700739. The next prime is 490467700813. The reversal of 490467700800 is 8007764094.

490467700800 is a `hidden beast` number, since 49 + 0 + 467 + 70 + 0 + 80 + 0 = 666.

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 335 ways as a sum of consecutive naturals, for example, 3861950337 + ... + 3861950463.

Almost surely, 2^490467700800 is an apocalyptic number.

490467700800 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 490467700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163293925376).

490467700800 is an abundant number, since it is smaller than the sum of its proper divisors (1836120149952).

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

490467700800 is a wasteful number, since it uses less digits than its factorization.

490467700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 490467700800 in words is "four hundred ninety billion, four hundred sixty-seven million, seven hundred thousand, eight hundred".