485601480 has 512 divisors, whose sum is σ = 2049868800. Its totient is φ = 100776960.

The previous prime is 485601463. The next prime is 485601511. The reversal of 485601480 is 84106584.

485601480 is a `hidden beast` number, since 4 + 8 + 5 + 601 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7960650 + ... + 7960710.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 2^485601480 is an apocalyptic number.

485601480 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 485601480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024934400).

485601480 is an abundant number, since it is smaller than the sum of its proper divisors (1564267320).

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

485601480 is a wasteful number, since it uses less digits than its factorization.

485601480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 485601480 is about 22036.3672142211. The cubic root of 485601480 is about 786.0074587020.

The spelling of 485601480 in words is "four hundred eighty-five million, six hundred one thousand, four hundred eighty".