498480 has 80 divisors (see below), whose sum is σ = 1618944. Its totient is φ = 126720.

The previous prime is 498469. The next prime is 498493. The reversal of 498480 is 84894.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 7473.

2⁴⁹⁸⁴⁸⁰ is an apocalyptic number.

498480 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 498480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809472).

498480 is an abundant number, since it is smaller than the sum of its proper divisors (1120464).

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

498480 is a wasteful number, since it uses less digits than its factorization.

498480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 498480 is about 706.0311607854. The cubic root of 498480 is about 79.2895426398.

The spelling of 498480 in words is "four hundred ninety-eight thousand, four hundred eighty".