495120600 has 240 divisors, whose sum is σ = 1852693920. Its totient is φ = 121824000.

The previous prime is 495120589. The next prime is 495120649. The reversal of 495120600 is 6021594.

495120600 is a `hidden beast` number, since 4 + 9 + 51 + 2 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 209425 + ... + 211775.

It is an arithmetic number, because the mean of its divisors is an integer number (7719558).

Almost surely, 2^495120600 is an apocalyptic number.

495120600 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 495120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926346960).

495120600 is an abundant number, since it is smaller than the sum of its proper divisors (1357573320).

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

495120600 is a wasteful number, since it uses less digits than its factorization.

495120600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 495120600 is about 22251.3055796733. The cubic root of 495120600 is about 791.1102266527.

The spelling of 495120600 in words is "four hundred ninety-five million, one hundred twenty thousand, six hundred".