492468480 has 432 divisors, whose sum is σ = 2020322304. Its totient is φ = 108380160.

The previous prime is 492468443. The next prime is 492468497. The reversal of 492468480 is 84864294.

492468480 = T₅₆ + T₅₇ + ... + T₁₄₃₄.

492468480 is a `hidden beast` number, since 492 + 4 + 6 + 84 + 80 = 666.

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

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, 2499742 + ... + 2499938.

It is an arithmetic number, because the mean of its divisors is an integer number (4676672).

Almost surely, 2^492468480 is an apocalyptic number.

492468480 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 492468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010161152).

492468480 is an abundant number, since it is smaller than the sum of its proper divisors (1527853824).

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

492468480 is a wasteful number, since it uses less digits than its factorization.

492468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 492468480 is about 22191.6308548966. The cubic root of 492468480 is about 789.6951662658.

The spelling of 492468480 in words is "four hundred ninety-two million, four hundred sixty-eight thousand, four hundred eighty".