495991440 has 120 divisors (see below), whose sum is σ = 1903681728. Its totient is φ = 113368320.

The previous prime is 495991421. The next prime is 495991451. The reversal of 495991440 is 44199594.

495991440 is a `hidden beast` number, since 4 + 9 + 599 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44166 + ... + 54245.

Almost surely, 2^495991440 is an apocalyptic number.

495991440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495991440 is an abundant number, since it is smaller than the sum of its proper divisors (1407690288).

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

495991440 is a wasteful number, since it uses less digits than its factorization.

495991440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98437 (or 98428 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 495991440 is about 22270.8652728178. The cubic root of 495991440 is about 791.5737682066.

The spelling of 495991440 in words is "four hundred ninety-five million, nine hundred ninety-one thousand, four hundred forty".