490998240 has 96 divisors (see below), whose sum is σ = 1718508960. Its totient is φ = 130931712.

The previous prime is 490998223. The next prime is 490998241. The reversal of 490998240 is 42899094.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490998241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52509 + ... + 61148.

It is an arithmetic number, because the mean of its divisors is an integer number (17901135).

Almost surely, 2^490998240 is an apocalyptic number.

490998240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490998240 is an abundant number, since it is smaller than the sum of its proper divisors (1227510720).

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

490998240 is a wasteful number, since it uses less digits than its factorization.

490998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113681 (or 113667 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 490998240 is about 22158.4800922807. The cubic root of 490998240 is about 788.9085177803.

The spelling of 490998240 in words is "four hundred ninety million, nine hundred ninety-eight thousand, two hundred forty".