495940080 has 160 divisors (see below), whose sum is σ = 1583898624. Its totient is φ = 128314368.

The previous prime is 495940079. The next prime is 495940091. The reversal of 495940080 is 80049594.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1615287 + ... + 1615593.

Almost surely, 2^495940080 is an apocalyptic number.

495940080 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 495940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791949312).

495940080 is an abundant number, since it is smaller than the sum of its proper divisors (1087958544).

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

495940080 is a wasteful number, since it uses less digits than its factorization.

495940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 495940080 is about 22269.7121669769. The cubic root of 495940080 is about 791.5464447296.

The spelling of 495940080 in words is "four hundred ninety-five million, nine hundred forty thousand, eighty".