495059040 has 576 divisors, whose sum is σ = 2139830784. Its totient is φ = 105504768.

The previous prime is 495059027. The next prime is 495059053. The reversal of 495059040 is 40950594.

It is an interprime number because it is at equal distance from previous prime (495059027) and next prime (495059053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 495058986 and 495059004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626667 + ... + 4626773.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^495059040 is an apocalyptic number.

495059040 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 495059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069915392).

495059040 is an abundant number, since it is smaller than the sum of its proper divisors (1644771744).

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

495059040 is a wasteful number, since it uses less digits than its factorization.

495059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 495059040 is about 22249.9222470552. The cubic root of 495059040 is about 791.0774381671.

The spelling of 495059040 in words is "four hundred ninety-five million, fifty-nine thousand, forty".