498541680 has 360 divisors, whose sum is σ = 2099365632. Its totient is φ = 105090048.

The previous prime is 498541679. The next prime is 498541717. The reversal of 498541680 is 86145894.

498541680 is a `hidden beast` number, since 49 + 8 + 541 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458097 + ... + 459183.

Almost surely, 2^498541680 is an apocalyptic number.

498541680 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 498541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049682816).

498541680 is an abundant number, since it is smaller than the sum of its proper divisors (1600823952).

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

498541680 is a wasteful number, since it uses less digits than its factorization.

498541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 498541680 is about 22328.0469365325. The cubic root of 498541680 is about 792.9281283273.

It can be divided in two parts, 4985 and 41680, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 498541680 in words is "four hundred ninety-eight million, five hundred forty-one thousand, six hundred eighty".