480354889 has 27 divisors (see below), whose sum is σ = 583160103. Its totient is φ = 394506000.

The previous prime is 480354883. The next prime is 480354911. The reversal of 480354889 is 988453084.

The square root of 480354889 is 21917.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 461519289 + 18835600 = 21483^2 + 4340^2 .

It is not a de Polignac number, because 480354889 - 2³ = 480354881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480354881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4755939 + ... + 4756039.

Almost surely, 2^480354889 is an apocalyptic number.

480354889 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

480354889 is the 21917-th square number.

480354889 is the 10959-th centered octagonal number.

It is an amenable number.

480354889 is a deficient number, since it is larger than the sum of its proper divisors (102805214).

480354889 is an equidigital number, since it uses as much as digits as its factorization.

480354889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The cubic root of 480354889 is about 783.1664450669.

Multiplying 480354889 by its sum of digits (49), we get a square (23537389561 = 153419²).

480354889 divided by its sum of digits (49) gives a square (9803161 = 3131²).

The spelling of 480354889 in words is "four hundred eighty million, three hundred fifty-four thousand, eight hundred eighty-nine".