495801600 has 648 divisors, whose sum is σ = 2080366848. Its totient is φ = 103219200.

The previous prime is 495801587. The next prime is 495801601. The reversal of 495801600 is 6108594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495801601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15993585 + ... + 15993615.

Almost surely, 2^495801600 is an apocalyptic number.

495801600 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 495801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040183424).

495801600 is an abundant number, since it is smaller than the sum of its proper divisors (1584565248).

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

495801600 is a wasteful number, since it uses less digits than its factorization.

495801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 495801600 is about 22266.6027943196. The cubic root of 495801600 is about 791.4727640842.

The spelling of 495801600 in words is "four hundred ninety-five million, eight hundred one thousand, six hundred".