492114816 has 192 divisors, whose sum is σ = 1479816000. Its totient is φ = 156856320.

The previous prime is 492114809. The next prime is 492114869. The reversal of 492114816 is 618411294.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 3302710 + ... + 3302858.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^492114816 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 492114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739908000).

492114816 is an abundant number, since it is smaller than the sum of its proper divisors (987701184).

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

492114816 is a wasteful number, since it uses less digits than its factorization.

492114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 492114816 is about 22183.6610143592. The cubic root of 492114816 is about 789.5060823308.

The spelling of 492114816 in words is "four hundred ninety-two million, one hundred fourteen thousand, eight hundred sixteen".