495863820 has 144 divisors (see below), whose sum is σ = 1606052448. Its totient is φ = 123402240.

The previous prime is 495863807. The next prime is 495863821. The reversal of 495863820 is 28368594.

495863820 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 638 + 2 + 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 (495863821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400242 + ... + 401478.

It is an arithmetic number, because the mean of its divisors is an integer number (11153142).

Almost surely, 2^495863820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495863820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803026224).

495863820 is an abundant number, since it is smaller than the sum of its proper divisors (1110188628).

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

495863820 is a wasteful number, since it uses less digits than its factorization.

495863820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1395 counting only the distinct ones).

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

The square root of 495863820 is about 22267.9999101850. Note that the first 4 decimals coincide. The cubic root of 495863820 is about 791.5058709933.

The spelling of 495863820 in words is "four hundred ninety-five million, eight hundred sixty-three thousand, eight hundred twenty".