495690624 has 512 divisors, whose sum is σ = 1850688000. Its totient is φ = 128286720.

The previous prime is 495690619. The next prime is 495690647. The reversal of 495690624 is 426096594.

It is a self number, because there is not a number n which added to its sum of digits gives 495690624.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8401507 + ... + 8401565.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^495690624 is an apocalyptic number.

495690624 is a gapful number since it is divisible by the number (44) 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 495690624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925344000).

495690624 is an abundant number, since it is smaller than the sum of its proper divisors (1354997376).

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

495690624 is a wasteful number, since it uses less digits than its factorization.

495690624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 495690624 is about 22264.1106716617. The cubic root of 495690624 is about 791.4137075075.

The spelling of 495690624 in words is "four hundred ninety-five million, six hundred ninety thousand, six hundred twenty-four".