495079680 has 144 divisors (see below), whose sum is σ = 1590886080. Its totient is φ = 131211264.

The previous prime is 495079631. The next prime is 495079687. The reversal of 495079680 is 86970594.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (495079687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879079 + ... + 879641.

It is an arithmetic number, because the mean of its divisors is an integer number (11047820).

Almost surely, 2^495079680 is an apocalyptic number.

495079680 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 495079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795443040).

495079680 is an abundant number, since it is smaller than the sum of its proper divisors (1095806400).

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

495079680 is a wasteful number, since it uses less digits than its factorization.

495079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 495079680 is about 22250.3860640664. The cubic root of 495079680 is about 791.0884318803.

The spelling of 495079680 in words is "four hundred ninety-five million, seventy-nine thousand, six hundred eighty".