495258220800 has 648 divisors, whose sum is σ = 2073036900480. Its totient is φ = 110437171200.

The previous prime is 495258220777. The next prime is 495258220801. The reversal of 495258220800 is 8022852594.

495258220800 is a `hidden beast` number, since 49 + 5 + 2 + 582 + 20 + 8 + 0 + 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 (495258220801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16516221 + ... + 16546179.

Almost surely, 2^495258220800 is an apocalyptic number.

495258220800 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 495258220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036518450240).

495258220800 is an abundant number, since it is smaller than the sum of its proper divisors (1577778679680).

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

495258220800 is a wasteful number, since it uses less digits than its factorization.

495258220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30039 (or 30017 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 495258220800 in words is "four hundred ninety-five billion, two hundred fifty-eight million, two hundred twenty thousand, eight hundred".