498088800 has 432 divisors, whose sum is σ = 2022995520. Its totient is φ = 114048000.

The previous prime is 498088777. The next prime is 498088813. The reversal of 498088800 is 8880894.

498088800 is a `hidden beast` number, since 498 + 0 + 88 + 80 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1504635 + ... + 1504965.

It is an arithmetic number, because the mean of its divisors is an integer number (4682860).

Almost surely, 2^498088800 is an apocalyptic number.

498088800 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 498088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011497760).

498088800 is an abundant number, since it is smaller than the sum of its proper divisors (1524906720).

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

498088800 is a wasteful number, since it uses less digits than its factorization.

498088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 498088800 is about 22317.9031273101. The cubic root of 498088800 is about 792.6879544381.

The spelling of 498088800 in words is "four hundred ninety-eight million, eighty-eight thousand, eight hundred".