495382680 has 192 divisors, whose sum is σ = 1747811520. Its totient is φ = 120960000.

The previous prime is 495382631. The next prime is 495382711. The reversal of 495382680 is 86283594.

495382680 is a `hidden beast` number, since 495 + 3 + 82 + 6 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 706330 + ... + 707030.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^495382680 is an apocalyptic number.

495382680 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 495382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

495382680 is an abundant number, since it is smaller than the sum of its proper divisors (1252428840).

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

495382680 is a wasteful number, since it uses less digits than its factorization.

495382680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

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

The square root of 495382680 is about 22257.1938932112. The cubic root of 495382680 is about 791.2497869918.

The spelling of 495382680 in words is "four hundred ninety-five million, three hundred eighty-two thousand, six hundred eighty".