495211440 has 160 divisors (see below), whose sum is σ = 1630252800. Its totient is φ = 124001280.

The previous prime is 495211427. The next prime is 495211471. The reversal of 495211440 is 44112594.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 495211398 and 495211407.

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 31 ways as a sum of consecutive naturals, for example, 596946 + ... + 597774.

It is an arithmetic number, because the mean of its divisors is an integer number (10189080).

Almost surely, 2^495211440 is an apocalyptic number.

495211440 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 495211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815126400).

495211440 is an abundant number, since it is smaller than the sum of its proper divisors (1135041360).

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

495211440 is a wasteful number, since it uses less digits than its factorization.

495211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 495211440 is about 22253.3467145955. The cubic root of 495211440 is about 791.1586054776.

The spelling of 495211440 in words is "four hundred ninety-five million, two hundred eleven thousand, four hundred forty".