495460800 has 210 divisors, whose sum is σ = 1821665648. Its totient is φ = 132088320.

The previous prime is 495460799. The next prime is 495460811. The reversal of 495460800 is 8064594.

495460800 is a `hidden beast` number, since 49 + 5 + 4 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127689 + ... + 131511.

Almost surely, 2^495460800 is an apocalyptic number.

495460800 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 495460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910832824).

495460800 is an abundant number, since it is smaller than the sum of its proper divisors (1326204848).

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

495460800 is a wasteful number, since it uses less digits than its factorization.

495460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 495460800 is about 22258.9487622394. The cubic root of 495460800 is about 791.2913771853.

The spelling of 495460800 in words is "four hundred ninety-five million, four hundred sixty thousand, eight hundred".