495823680 has 560 divisors, whose sum is σ = 2018117376. Its totient is φ = 114462720.

The previous prime is 495823663. The next prime is 495823711. The reversal of 495823680 is 86328594.

495823680 is a `hidden beast` number, since 4 + 9 + 582 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×495823680² = 491682243297484800, 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10549417 + ... + 10549463.

Almost surely, 2^495823680 is an apocalyptic number.

495823680 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 495823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009058688).

495823680 is an abundant number, since it is smaller than the sum of its proper divisors (1522293696).

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

495823680 is a wasteful number, since it uses less digits than its factorization.

495823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 495823680 is about 22267.0985986051. The cubic root of 495823680 is about 791.4845130440.

The spelling of 495823680 in words is "four hundred ninety-five million, eight hundred twenty-three thousand, six hundred eighty".