495783720 has 256 divisors, whose sum is σ = 1789344000. Its totient is φ = 121678848.

The previous prime is 495783709. The next prime is 495783721. The reversal of 495783720 is 27387594.

495783720 is a `hidden beast` number, since 4 + 9 + 578 + 3 + 72 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (495783721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758914 + ... + 759566.

It is an arithmetic number, because the mean of its divisors is an integer number (6989625).

Almost surely, 2^495783720 is an apocalyptic number.

495783720 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 495783720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894672000).

495783720 is an abundant number, since it is smaller than the sum of its proper divisors (1293560280).

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

495783720 is a wasteful number, since it uses less digits than its factorization.

495783720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 495783720 is about 22266.2012925420. The cubic root of 495783720 is about 791.4632497253.

The spelling of 495783720 in words is "four hundred ninety-five million, seven hundred eighty-three thousand, seven hundred twenty".