484767360 has 384 divisors, whose sum is σ = 2088927360. Its totient is φ = 100638720.

The previous prime is 484767347. The next prime is 484767373. The reversal of 484767360 is 63767484.

It is an interprime number because it is at equal distance from previous prime (484767347) and next prime (484767373).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 442974 + ... + 444066.

It is an arithmetic number, because the mean of its divisors is an integer number (5439915).

Almost surely, 2^484767360 is an apocalyptic number.

484767360 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 484767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044463680).

484767360 is an abundant number, since it is smaller than the sum of its proper divisors (1604160000).

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

484767360 is a wasteful number, since it uses less digits than its factorization.

484767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 484767360 is about 22017.4330928925. The cubic root of 484767360 is about 785.5571578436.

The spelling of 484767360 in words is "four hundred eighty-four million, seven hundred sixty-seven thousand, three hundred sixty".