490769863200 has 360 divisors, whose sum is σ = 1883943951120. Its totient is φ = 123983654400.

The previous prime is 490769863193. The next prime is 490769863223. The reversal of 490769863200 is 2368967094.

It is a happy number.

490769863200 is a `hidden beast` number, since 490 + 7 + 6 + 98 + 63 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 1031895 + ... + 1430505.

It is an arithmetic number, because the mean of its divisors is an integer number (5233177642).

Almost surely, 2^490769863200 is an apocalyptic number.

490769863200 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 490769863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941971975560).

490769863200 is an abundant number, since it is smaller than the sum of its proper divisors (1393174087920).

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

490769863200 is a wasteful number, since it uses less digits than its factorization.

490769863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398662 (or 398640 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 490769863200 in words is "four hundred ninety billion, seven hundred sixty-nine million, eight hundred sixty-three thousand, two hundred".