498090960 has 240 divisors, whose sum is σ = 1754887680. Its totient is φ = 126474240.

The previous prime is 498090959. The next prime is 498090961. The reversal of 498090960 is 69090894.

It is an interprime number because it is at equal distance from previous prime (498090959) and next prime (498090961).

It is a tau number, because it is divible by the number of its divisors (240).

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 (498090961) 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, 1387261 + ... + 1387619.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^498090960 is an apocalyptic number.

498090960 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 498090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

498090960 is an abundant number, since it is smaller than the sum of its proper divisors (1256796720).

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

498090960 is a wasteful number, since it uses less digits than its factorization.

498090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 498090960 is about 22317.9515189007. The cubic root of 498090960 is about 792.6891002870.

The spelling of 498090960 in words is "four hundred ninety-eight million, ninety thousand, nine hundred sixty".