499824000 has 512 divisors, whose sum is σ = 2004912000. Its totient is φ = 121651200.

The previous prime is 499823993. The next prime is 499824007. The reversal of 499824000 is 428994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (499823993) and next prime (499824007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499824007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615956 + ... + 5616044.

Almost surely, 2^499824000 is an apocalyptic number.

499824000 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 499824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002456000).

499824000 is an abundant number, since it is smaller than the sum of its proper divisors (1505088000).

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

499824000 is a wasteful number, since it uses less digits than its factorization.

499824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 499824000 is about 22356.7439489743. The cubic root of 499824000 is about 793.6073875266.

The spelling of 499824000 in words is "four hundred ninety-nine million, eight hundred twenty-four thousand".