495509040 has 240 divisors, whose sum is σ = 1808509248. Its totient is φ = 120858624.

The previous prime is 495509023. The next prime is 495509057. The reversal of 495509040 is 40905594.

It is an interprime number because it is at equal distance from previous prime (495509023) and next prime (495509057).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 495508986 and 495509004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562962 + ... + 1563278.

Almost surely, 2^495509040 is an apocalyptic number.

495509040 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 495509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904254624).

495509040 is an abundant number, since it is smaller than the sum of its proper divisors (1313000208).

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

495509040 is a wasteful number, since it uses less digits than its factorization.

495509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

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

The square root of 495509040 is about 22260.0323449900. The cubic root of 495509040 is about 791.3170574256.

The spelling of 495509040 in words is "four hundred ninety-five million, five hundred nine thousand, forty".