495387090 has 192 divisors, whose sum is σ = 1494484992. Its totient is φ = 117028800.

The previous prime is 495387071. The next prime is 495387091. The reversal of 495387090 is 90783594.

495387090 is a `hidden beast` number, since 49 + 538 + 70 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495387091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149175 + ... + 1149605.

It is an arithmetic number, because the mean of its divisors is an integer number (7783776).

Almost surely, 2^495387090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495387090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747242496).

495387090 is an abundant number, since it is smaller than the sum of its proper divisors (999097902).

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

495387090 is a wasteful number, since it uses less digits than its factorization.

495387090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 495387090 is about 22257.2929620832. The cubic root of 495387090 is about 791.2521349418.

The spelling of 495387090 in words is "four hundred ninety-five million, three hundred eighty-seven thousand, ninety".