495454080 has 128 divisors (see below), whose sum is σ = 1722902400. Its totient is φ = 120104960.

The previous prime is 495454073. The next prime is 495454133. The reversal of 495454080 is 80454594.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9391 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (13460175).

Almost surely, 2^495454080 is an apocalyptic number.

495454080 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 495454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861451200).

495454080 is an abundant number, since it is smaller than the sum of its proper divisors (1227448320).

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

495454080 is a wasteful number, since it uses less digits than its factorization.

495454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23492 (or 23480 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 495454080 is about 22258.7978112027. The cubic root of 495454080 is about 791.2877997061.

The spelling of 495454080 in words is "four hundred ninety-five million, four hundred fifty-four thousand, eighty".