492773760 has 128 divisors (see below), whose sum is σ = 1745301600. Its totient is φ = 131401728.

The previous prime is 492773753. The next prime is 492773777. The reversal of 492773760 is 67377294.

It is a happy number.

492773760 is a `hidden beast` number, since 4 + 9 + 277 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3022 + ... + 31538.

Almost surely, 2^492773760 is an apocalyptic number.

492773760 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 492773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872650800).

492773760 is an abundant number, since it is smaller than the sum of its proper divisors (1252527840).

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

492773760 is a wasteful number, since it uses less digits than its factorization.

492773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28545 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 492773760 is about 22198.5080579754. The cubic root of 492773760 is about 789.8583092571.

It can be divided in two parts, 4927 and 73760, that added together give a palindrome (78687).

The spelling of 492773760 in words is "four hundred ninety-two million, seven hundred seventy-three thousand, seven hundred sixty".