495793440 has 384 divisors, whose sum is σ = 1892056320. Its totient is φ = 120766464.

The previous prime is 495793411. The next prime is 495793453. The reversal of 495793440 is 44397594.

It is a happy number.

495793440 is a `hidden beast` number, since 4 + 9 + 579 + 34 + 40 = 666.

It is a super-2 number, since 2×495793440² = 491622270294067200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 3157842 + ... + 3157998.

It is an arithmetic number, because the mean of its divisors is an integer number (4927230).

Almost surely, 2^495793440 is an apocalyptic number.

495793440 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 495793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946028160).

495793440 is an abundant number, since it is smaller than the sum of its proper divisors (1396262880).

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

495793440 is a wasteful number, since it uses less digits than its factorization.

495793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 495793440 is about 22266.4195595071. The cubic root of 495793440 is about 791.4684219890.

The spelling of 495793440 in words is "four hundred ninety-five million, seven hundred ninety-three thousand, four hundred forty".