495181440 has 384 divisors, whose sum is σ = 1954789200. Its totient is φ = 114425856.

The previous prime is 495181417. The next prime is 495181447. The reversal of 495181440 is 44181594.

It can be written as a sum of positive squares in 8 ways, for example, as 125619264 + 369562176 = 11208^2 + 19224^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 495181395 and 495181404.

It is not an unprimeable number, because it can be changed into a prime (495181447) 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, 1272766 + ... + 1273154.

Almost surely, 2^495181440 is an apocalyptic number.

495181440 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 495181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977394600).

495181440 is an abundant number, since it is smaller than the sum of its proper divisors (1459607760).

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

495181440 is a wasteful number, since it uses less digits than its factorization.

495181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 495181440 is about 22252.6726484708. The cubic root of 495181440 is about 791.1426289771.

The spelling of 495181440 in words is "four hundred ninety-five million, one hundred eighty-one thousand, four hundred forty".