485521920 has 240 divisors, whose sum is σ = 1811962152. Its totient is φ = 119439360.

The previous prime is 485521919. The next prime is 485521937. The reversal of 485521920 is 29125584.

485521920 is a `hidden beast` number, since 48 + 5 + 521 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366799104 + 118722816 = 19152^2 + 10896^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 298710 + ... + 300330.

Almost surely, 2^485521920 is an apocalyptic number.

485521920 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 485521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905981076).

485521920 is an abundant number, since it is smaller than the sum of its proper divisors (1326440232).

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

485521920 is a wasteful number, since it uses less digits than its factorization.

485521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 485521920 is about 22034.5619425483. The cubic root of 485521920 is about 785.9645303808.

The spelling of 485521920 in words is "four hundred eighty-five million, five hundred twenty-one thousand, nine hundred twenty".