490968000 has 224 divisors, whose sum is σ = 1802099520. Its totient is φ = 130867200.

The previous prime is 490967951. The next prime is 490968001. The reversal of 490968000 is 869094.

490968000 is a `hidden beast` number, since 490 + 96 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490968001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214864 + ... + 217136.

Almost surely, 2^490968000 is an apocalyptic number.

490968000 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 490968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901049760).

490968000 is an abundant number, since it is smaller than the sum of its proper divisors (1311131520).

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

490968000 is a wasteful number, since it uses less digits than its factorization.

490968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 490968000 is about 22157.7977245032. The cubic root of 490968000 is about 788.8923214674.

The spelling of 490968000 in words is "four hundred ninety million, nine hundred sixty-eight thousand".