495240480 has 480 divisors, whose sum is σ = 2054916864. Its totient is φ = 109983744.

The previous prime is 495240479. The next prime is 495240497. The reversal of 495240480 is 84042594.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4808109 + ... + 4808211.

Almost surely, 2^495240480 is an apocalyptic number.

495240480 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 495240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027458432).

495240480 is an abundant number, since it is smaller than the sum of its proper divisors (1559676384).

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

495240480 is a wasteful number, since it uses less digits than its factorization.

495240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 495240480 is about 22253.9991911566. Note that the first 3 decimals coincide. The cubic root of 495240480 is about 791.1740701155.

Adding to 495240480 its sum of digits (36), we get a square (495240516 = 22254²).

The spelling of 495240480 in words is "four hundred ninety-five million, two hundred forty thousand, four hundred eighty".