495862080 has 224 divisors, whose sum is σ = 1817973504. Its totient is φ = 112164864.

The previous prime is 495862061. The next prime is 495862091. The reversal of 495862080 is 80268594.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 759034 + ... + 759686.

Almost surely, 2^495862080 is an apocalyptic number.

495862080 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 495862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908986752).

495862080 is an abundant number, since it is smaller than the sum of its proper divisors (1322111424).

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

495862080 is a wasteful number, since it uses less digits than its factorization.

495862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 495862080 is about 22267.9608406338. The cubic root of 495862080 is about 791.5049451868.

The spelling of 495862080 in words is "four hundred ninety-five million, eight hundred sixty-two thousand, eighty".