499829616 has 480 divisors, whose sum is σ = 1819883520. Its totient is φ = 130636800.

The previous prime is 499829609. The next prime is 499829621. The reversal of 499829616 is 616928994.

499829616 = 153³ + 154³ + ... + 224³.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16123521 + ... + 16123551.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^499829616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499829616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909941760).

499829616 is an abundant number, since it is smaller than the sum of its proper divisors (1320053904).

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

499829616 is a wasteful number, since it uses less digits than its factorization.

499829616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 499829616 is about 22356.8695483066. The cubic root of 499829616 is about 793.6103598278.

The spelling of 499829616 in words is "four hundred ninety-nine million, eight hundred twenty-nine thousand, six hundred sixteen".