495066240 has 192 divisors, whose sum is σ = 1738783800. Its totient is φ = 129761280.

The previous prime is 495066239. The next prime is 495066241. The reversal of 495066240 is 42660594.

It is an interprime number because it is at equal distance from previous prime (495066239) and next prime (495066241).

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 393943104 = 10056^2 + 19848^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 495066195 and 495066204.

It is not an unprimeable number, because it can be changed into a prime (495066241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350656 + ... + 352064.

Almost surely, 2^495066240 is an apocalyptic number.

495066240 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 495066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869391900).

495066240 is an abundant number, since it is smaller than the sum of its proper divisors (1243717560).

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

495066240 is a wasteful number, since it uses less digits than its factorization.

495066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 495066240 is about 22250.0840447851. The cubic root of 495066240 is about 791.0812732180.

The spelling of 495066240 in words is "four hundred ninety-five million, sixty-six thousand, two hundred forty".