499677600 has 288 divisors, whose sum is σ = 1774011456. Its totient is φ = 121651200.

The previous prime is 499677593. The next prime is 499677601. The reversal of 499677600 is 6776994.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 499677600.

It is not an unprimeable number, because it can be changed into a prime (499677601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509435 + ... + 1509765.

It is an arithmetic number, because the mean of its divisors is an integer number (6159762).

Almost surely, 2^499677600 is an apocalyptic number.

499677600 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 499677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887005728).

499677600 is an abundant number, since it is smaller than the sum of its proper divisors (1274333856).

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

499677600 is a wasteful number, since it uses less digits than its factorization.

499677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 499677600 is about 22353.4695293594. The cubic root of 499677600 is about 793.5298966052.

The spelling of 499677600 in words is "four hundred ninety-nine million, six hundred seventy-seven thousand, six hundred".