490695937200 has 960 divisors, whose sum is σ = 2102944768000. Its totient is φ = 108515635200.

The previous prime is 490695937187. The next prime is 490695937213. The reversal of 490695937200 is 2739596094.

490695937200 is a `hidden beast` number, since 49 + 0 + 6 + 9 + 593 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (490695937187) and next prime (490695937213).

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, 114834264 + ... + 114838536.

Almost surely, 2^490695937200 is an apocalyptic number.

490695937200 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 490695937200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051472384000).

490695937200 is an abundant number, since it is smaller than the sum of its proper divisors (1612248830800).

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

490695937200 is a wasteful number, since it uses less digits than its factorization.

490695937200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 490695937200 in words is "four hundred ninety billion, six hundred ninety-five million, nine hundred thirty-seven thousand, two hundred".