492050448 has 240 divisors, whose sum is σ = 1566864000. Its totient is φ = 143216640.

The previous prime is 492050417. The next prime is 492050459. The reversal of 492050448 is 844050294.

492050448 is a `hidden beast` number, since 4 + 9 + 205 + 0 + 448 = 666.

It is a super-2 number, since 2×492050448² = 484227286754001408, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3302278 + ... + 3302426.

It is an arithmetic number, because the mean of its divisors is an integer number (6528600).

Almost surely, 2^492050448 is an apocalyptic number.

492050448 is a gapful number since it is divisible by the number (48) 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 492050448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432000).

492050448 is an abundant number, since it is smaller than the sum of its proper divisors (1074813552).

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

492050448 is a wasteful number, since it uses less digits than its factorization.

492050448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 492050448 is about 22182.2101694128. The cubic root of 492050448 is about 789.4716586952.

The spelling of 492050448 in words is "four hundred ninety-two million, fifty thousand, four hundred forty-eight".