495087840 has 288 divisors, whose sum is σ = 1857492000. Its totient is φ = 119328768.

The previous prime is 495087829. The next prime is 495087847. The reversal of 495087840 is 48780594.

495087840 is a `hidden beast` number, since 495 + 0 + 87 + 84 + 0 = 666.

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

It is a super-2 number, since 2×495087840² = 490223938631731200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495087847) 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, 991911 + ... + 992409.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2^495087840 is an apocalyptic number.

495087840 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 495087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928746000).

495087840 is an abundant number, since it is smaller than the sum of its proper divisors (1362404160).

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

495087840 is a wasteful number, since it uses less digits than its factorization.

495087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 495087840 is about 22250.5694309157. The cubic root of 495087840 is about 791.0927781478.

The spelling of 495087840 in words is "four hundred ninety-five million, eighty-seven thousand, eight hundred forty".