495096000 has 336 divisors, whose sum is σ = 1906231392. Its totient is φ = 112896000.

The previous prime is 495095969. The next prime is 495096013. The reversal of 495096000 is 690594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1175790 + ... + 1176210.

Almost surely, 2^495096000 is an apocalyptic number.

495096000 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 495096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953115696).

495096000 is an abundant number, since it is smaller than the sum of its proper divisors (1411135392).

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

495096000 is a wasteful number, since it uses less digits than its factorization.

495096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 495096000 is about 22250.7527962539. The cubic root of 495096000 is about 791.0971243675.

The spelling of 495096000 in words is "four hundred ninety-five million, ninety-six thousand".