498567960 has 192 divisors, whose sum is σ = 1833511680. Its totient is φ = 120839040.

The previous prime is 498567931. The next prime is 498567967. The reversal of 498567960 is 69765894.

498567960 is a `hidden beast` number, since 498 + 5 + 67 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 498567897 and 498567906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498567967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104589 + ... + 109251.

It is an arithmetic number, because the mean of its divisors is an integer number (9549540).

Almost surely, 2^498567960 is an apocalyptic number.

498567960 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 498567960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916755840).

498567960 is an abundant number, since it is smaller than the sum of its proper divisors (1334943720).

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

498567960 is a wasteful number, since it uses less digits than its factorization.

498567960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 498567960 is about 22328.6354262861. The cubic root of 498567960 is about 792.9420608201.

The spelling of 498567960 in words is "four hundred ninety-eight million, five hundred sixty-seven thousand, nine hundred sixty".