484392960 has 300 divisors, whose sum is σ = 1760374308. Its totient is φ = 127401984.

The previous prime is 484392941. The next prime is 484392967. The reversal of 484392960 is 69293484.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 260112384 = 14976^2 + 16128^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484392967) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6635484 + ... + 6635556.

Almost surely, 2^484392960 is an apocalyptic number.

484392960 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 484392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880187154).

484392960 is an abundant number, since it is smaller than the sum of its proper divisors (1275981348).

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

484392960 is an frugal number, since it uses more digits than its factorization.

484392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 484392960 is about 22008.9290970733. The cubic root of 484392960 is about 785.3548695063.

The spelling of 484392960 in words is "four hundred eighty-four million, three hundred ninety-two thousand, nine hundred sixty".