495839520 has 288 divisors, whose sum is σ = 1927545984. Its totient is φ = 114892800.

The previous prime is 495839503. The next prime is 495839521. The reversal of 495839520 is 25938594.

495839520 is a `hidden beast` number, since 4 + 95 + 8 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (495839521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363640 + ... + 365000.

It is an arithmetic number, because the mean of its divisors is an integer number (6692868).

Almost surely, 2^495839520 is an apocalyptic number.

495839520 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 495839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963772992).

495839520 is an abundant number, since it is smaller than the sum of its proper divisors (1431706464).

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

495839520 is a wasteful number, since it uses less digits than its factorization.

495839520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 495839520 is about 22267.4542774876. The cubic root of 495839520 is about 791.4929414307.

The spelling of 495839520 in words is "four hundred ninety-five million, eight hundred thirty-nine thousand, five hundred twenty".