498960000 has 800 divisors, whose sum is σ = 2313384480. Its totient is φ = 103680000.

The previous prime is 498959977. The next prime is 498960019. The reversal of 498960000 is 69894.

498960000 is a `hidden beast` number, since 49 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×498960000² = 497922163200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 45359995 + ... + 45360005.

Almost surely, 2^498960000 is an apocalyptic number.

498960000 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 498960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156692240).

498960000 is an abundant number, since it is smaller than the sum of its proper divisors (1814424480).

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

498960000 is an equidigital number, since it uses as much as digits as its factorization.

498960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 498960000 is about 22337.4125627835. The cubic root of 498960000 is about 793.1498449706.

The spelling of 498960000 in words is "four hundred ninety-eight million, nine hundred sixty thousand".