490149000 has 192 divisors, whose sum is σ = 1807678080. Its totient is φ = 118800000.

The previous prime is 490148999. The next prime is 490149001. The reversal of 490149000 is 941094.

It is an interprime number because it is at equal distance from previous prime (490148999) and next prime (490149001).

It is a super-3 number, since 3×490149000³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (490149001) 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 47 ways as a sum of consecutive naturals, for example, 96525 + ... + 101475.

It is an arithmetic number, because the mean of its divisors is an integer number (9414990).

Almost surely, 2^490149000 is an apocalyptic number.

490149000 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 490149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903839040).

490149000 is an abundant number, since it is smaller than the sum of its proper divisors (1317529080).

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

490149000 is a wasteful number, since it uses less digits than its factorization.

490149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 490149000 is about 22139.3089323041. The cubic root of 490149000 is about 788.4534181808.

The spelling of 490149000 in words is "four hundred ninety million, one hundred forty-nine thousand".