495756720 has 320 divisors, whose sum is σ = 1889879040. Its totient is φ = 118812672.

The previous prime is 495756713. The next prime is 495756733. The reversal of 495756720 is 27657594.

495756720 is a `hidden beast` number, since 4 + 9 + 575 + 6 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844267 + ... + 844853.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2^495756720 is an apocalyptic number.

495756720 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 495756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

495756720 is an abundant number, since it is smaller than the sum of its proper divisors (1394122320).

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

495756720 is a wasteful number, since it uses less digits than its factorization.

495756720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 495756720 is about 22265.5949841903. The cubic root of 495756720 is about 791.4488819712.

The spelling of 495756720 in words is "four hundred ninety-five million, seven hundred fifty-six thousand, seven hundred twenty".