498784000 has 288 divisors, whose sum is σ = 1473151680. Its totient is φ = 165888000.

The previous prime is 498783997. The next prime is 498784009. The reversal of 498784000 is 487894.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498784009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4575946 + ... + 4576054.

It is an arithmetic number, because the mean of its divisors is an integer number (5115110).

Almost surely, 2^498784000 is an apocalyptic number.

498784000 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 498784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

498784000 is an abundant number, since it is smaller than the sum of its proper divisors (974367680).

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

498784000 is a wasteful number, since it uses less digits than its factorization.

498784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 498784000 is about 22333.4726363815. The cubic root of 498784000 is about 793.0565771140.

The spelling of 498784000 in words is "four hundred ninety-eight million, seven hundred eighty-four thousand".