480389760 has 96 divisors (see below), whose sum is σ = 1658865780. Its totient is φ = 128102400.

The previous prime is 480389731. The next prime is 480389771. The reversal of 480389760 is 67983084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 480135744 + 254016 = 21912^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35941 + ... + 47460.

Almost surely, 2^480389760 is an apocalyptic number.

480389760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480389760 is an abundant number, since it is smaller than the sum of its proper divisors (1178476020).

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

480389760 is a wasteful number, since it uses less digits than its factorization.

480389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83426 (or 83411 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 480389760 is about 21917.7955095854. The cubic root of 480389760 is about 783.1853957336.

The spelling of 480389760 in words is "four hundred eighty million, three hundred eighty-nine thousand, seven hundred sixty".