498408960 has 320 divisors, whose sum is σ = 1860452352. Its totient is φ = 111476736.

The previous prime is 498408959. The next prime is 498408983. The reversal of 498408960 is 69804894.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×498408960² = 496822982816563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 3924417 + ... + 3924543.

Almost surely, 2^498408960 is an apocalyptic number.

498408960 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 498408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930226176).

498408960 is an abundant number, since it is smaller than the sum of its proper divisors (1362043392).

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

498408960 is a wasteful number, since it uses less digits than its factorization.

498408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 498408960 is about 22325.0746919243. The cubic root of 498408960 is about 792.8577585766.

The spelling of 498408960 in words is "four hundred ninety-eight million, four hundred eight thousand, nine hundred sixty".