485781120 has 576 divisors, whose sum is σ = 1999899720. Its totient is φ = 108134400.

The previous prime is 485781073. The next prime is 485781139. The reversal of 485781120 is 21187584.

It can be written as a sum of positive squares in 4 ways, for example, as 331822656 + 153958464 = 18216^2 + 12408^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11848300 + ... + 11848340.

Almost surely, 2^485781120 is an apocalyptic number.

485781120 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 485781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999949860).

485781120 is an abundant number, since it is smaller than the sum of its proper divisors (1514118600).

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

485781120 is a wasteful number, since it uses less digits than its factorization.

485781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 485781120 is about 22040.4428267673. The cubic root of 485781120 is about 786.1043701119.

The spelling of 485781120 in words is "four hundred eighty-five million, seven hundred eighty-one thousand, one hundred twenty".