490089600 has 1152 divisors, whose sum is σ = 2486090880. Its totient is φ = 88473600.

The previous prime is 490089547. The next prime is 490089623. The reversal of 490089600 is 6980094.

490089600 is a `hidden beast` number, since 49 + 0 + 0 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28828792 + ... + 28828808.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^490089600 is an apocalyptic number.

490089600 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 490089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243045440).

490089600 is an abundant number, since it is smaller than the sum of its proper divisors (1996001280).

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

490089600 is a wasteful number, since it uses less digits than its factorization.

490089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

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

The square root of 490089600 is about 22137.9673863704. The cubic root of 490089600 is about 788.4215666248.

The spelling of 490089600 in words is "four hundred ninety million, eighty-nine thousand, six hundred".