492053760 has 324 divisors, whose sum is σ = 1876594356. Its totient is φ = 118947840.

The previous prime is 492053747. The next prime is 492053777. The reversal of 492053760 is 67350294.

492053760 is a `hidden beast` number, since 49 + 20 + 537 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188457984 + 303595776 = 13728^2 + 17424^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393744 + ... + 1394096.

Almost surely, 2^492053760 is an apocalyptic number.

492053760 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 492053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938297178).

492053760 is an abundant number, since it is smaller than the sum of its proper divisors (1384540596).

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

492053760 is a wasteful number, since it uses less digits than its factorization.

492053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 492053760 is about 22182.2848237056. The cubic root of 492053760 is about 789.4734300069.

The spelling of 492053760 in words is "four hundred ninety-two million, fifty-three thousand, seven hundred sixty".