490199040 has 288 divisors, whose sum is σ = 1770809040. Its totient is φ = 130056192.

The previous prime is 490199027. The next prime is 490199053. The reversal of 490199040 is 40991094.

It is an interprime number because it is at equal distance from previous prime (490199027) and next prime (490199053).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 490198986 and 490199004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2488222 + ... + 2488418.

Almost surely, 2^490199040 is an apocalyptic number.

490199040 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 490199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885404520).

490199040 is an abundant number, since it is smaller than the sum of its proper divisors (1280610000).

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

490199040 is an equidigital number, since it uses as much as digits as its factorization.

490199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 490199040 is about 22140.4390200375. The cubic root of 490199040 is about 788.4802487068.

The spelling of 490199040 in words is "four hundred ninety million, one hundred ninety-nine thousand, forty".