495465600 has 384 divisors, whose sum is σ = 1909342080. Its totient is φ = 110592000.

The previous prime is 495465589. The next prime is 495465613. The reversal of 495465600 is 6564594.

It is a tau number, because it is divible by the number of its divisors (384).

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, 4905550 + ... + 4905650.

It is an arithmetic number, because the mean of its divisors is an integer number (4972245).

Almost surely, 2^495465600 is an apocalyptic number.

495465600 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 495465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954671040).

495465600 is an abundant number, since it is smaller than the sum of its proper divisors (1413876480).

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

495465600 is a wasteful number, since it uses less digits than its factorization.

495465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 495465600 is about 22259.0565837818. The cubic root of 495465600 is about 791.2939325077.

It can be divided in two parts, 495 and 465600, that added together give a triangular number (466095 = T₉₆₅).

The spelling of 495465600 in words is "four hundred ninety-five million, four hundred sixty-five thousand, six hundred".