495872640 has 384 divisors, whose sum is σ = 1890345600. Its totient is φ = 119218176.

The previous prime is 495872579. The next prime is 495872687. The reversal of 495872640 is 46278594.

It is a happy number.

495872640 is a `hidden beast` number, since 4 + 9 + 587 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2517022 + ... + 2517218.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^495872640 is an apocalyptic number.

495872640 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 495872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945172800).

495872640 is an abundant number, since it is smaller than the sum of its proper divisors (1394472960).

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

495872640 is a wasteful number, since it uses less digits than its factorization.

495872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 495872640 is about 22268.1979513386. The cubic root of 495872640 is about 791.5105638412.

The spelling of 495872640 in words is "four hundred ninety-five million, eight hundred seventy-two thousand, six hundred forty".