495550080 has 192 divisors, whose sum is σ = 1723269600. Its totient is φ = 131217408.

The previous prime is 495550037. The next prime is 495550127. The reversal of 495550080 is 80055594.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307331 + ... + 1307709.

Almost surely, 2^495550080 is an apocalyptic number.

495550080 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 495550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861634800).

495550080 is an abundant number, since it is smaller than the sum of its proper divisors (1227719520).

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

495550080 is a wasteful number, since it uses less digits than its factorization.

495550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 495550080 is about 22260.9541574480. The cubic root of 495550080 is about 791.3389034821.

The spelling of 495550080 in words is "four hundred ninety-five million, five hundred fifty thousand, eighty".