495930240 has 384 divisors, whose sum is σ = 1904666400. Its totient is φ = 118112256.

The previous prime is 495930233. The next prime is 495930263. The reversal of 495930240 is 42039594.

495930240 is a `hidden beast` number, since 49 + 593 + 0 + 24 + 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 495930195 and 495930204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770471 + ... + 2770649.

Almost surely, 2^495930240 is an apocalyptic number.

495930240 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 495930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952333200).

495930240 is an abundant number, since it is smaller than the sum of its proper divisors (1408736160).

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

495930240 is a wasteful number, since it uses less digits than its factorization.

495930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 495930240 is about 22269.4912380144. The cubic root of 495930240 is about 791.5412096426.

The spelling of 495930240 in words is "four hundred ninety-five million, nine hundred thirty thousand, two hundred forty".