492782976 has 192 divisors, whose sum is σ = 1652620320. Its totient is φ = 138018816.

The previous prime is 492782963. The next prime is 492783007. The reversal of 492782976 is 679287294.

492782976 is a `hidden beast` number, since 492 + 7 + 82 + 9 + 76 = 666.

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

It is a super-2 number, since 2×492782976² = 485670122870833152, which contains 22 as substring.

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, 426816 + ... + 427968.

Almost surely, 2^492782976 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 492782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826310160).

492782976 is an abundant number, since it is smaller than the sum of its proper divisors (1159837344).

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

492782976 is a wasteful number, since it uses less digits than its factorization.

492782976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1218 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 492782976 is about 22198.7156385229. The cubic root of 492782976 is about 789.8632332807.

The spelling of 492782976 in words is "four hundred ninety-two million, seven hundred eighty-two thousand, nine hundred seventy-six".