485974944 has 288 divisors, whose sum is σ = 1777688640. Its totient is φ = 128024064.

The previous prime is 485974897. The next prime is 485974963. The reversal of 485974944 is 449479584.

485974944 is a `hidden beast` number, since 4 + 8 + 597 + 4 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 485974944 = 438³ + 738³ = 621³ + 627³.

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, 549927 + ... + 550809.

It is an arithmetic number, because the mean of its divisors is an integer number (6172530).

Almost surely, 2^485974944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888844320).

485974944 is an abundant number, since it is smaller than the sum of its proper divisors (1291713696).

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

485974944 is a wasteful number, since it uses less digits than its factorization.

485974944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 908 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 485974944 is about 22044.8393961036. The cubic root of 485974944 is about 786.2089066526.

The spelling of 485974944 in words is "four hundred eighty-five million, nine hundred seventy-four thousand, nine hundred forty-four".