492387840 has 480 divisors, whose sum is σ = 2022299136. Its totient is φ = 108380160.

The previous prime is 492387829. The next prime is 492387851. The reversal of 492387840 is 48783294.

492387840 is a `hidden beast` number, since 492 + 3 + 87 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (492387829) and next prime (492387851).

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6935005 + ... + 6935075.

Almost surely, 2^492387840 is an apocalyptic number.

492387840 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 492387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011149568).

492387840 is an abundant number, since it is smaller than the sum of its proper divisors (1529911296).

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

492387840 is a wasteful number, since it uses less digits than its factorization.

492387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 492387840 is about 22189.8138793456. The cubic root of 492387840 is about 789.6520606343.

The spelling of 492387840 in words is "four hundred ninety-two million, three hundred eighty-seven thousand, eight hundred forty".