498104640 has 280 divisors, whose sum is σ = 1934029152. Its totient is φ = 120683520.

The previous prime is 498104617. The next prime is 498104657. The reversal of 498104640 is 46401894.

It is a happy number.

498104640 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 0 + 4 + 640 = 666.

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 = 498104595 and 498104604.

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 39 ways as a sum of consecutive naturals, for example, 284247 + ... + 285993.

Almost surely, 2^498104640 is an apocalyptic number.

498104640 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 498104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967014576).

498104640 is an abundant number, since it is smaller than the sum of its proper divisors (1435924512).

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

498104640 is a wasteful number, since it uses less digits than its factorization.

498104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 498104640 is about 22318.2579965373. The cubic root of 498104640 is about 792.6963572531.

The spelling of 498104640 in words is "four hundred ninety-eight million, one hundred four thousand, six hundred forty".