495681120 has 576 divisors, whose sum is σ = 2047368960. Its totient is φ = 111974400.

The previous prime is 495681113. The next prime is 495681133. The reversal of 495681120 is 21186594.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125890 + ... + 8125950.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^495681120 is an apocalyptic number.

495681120 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 495681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

495681120 is an abundant number, since it is smaller than the sum of its proper divisors (1551687840).

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

495681120 is a wasteful number, since it uses less digits than its factorization.

495681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 495681120 is about 22263.8972329644. The cubic root of 495681120 is about 791.4086494843.

The spelling of 495681120 in words is "four hundred ninety-five million, six hundred eighty-one thousand, one hundred twenty".