485937792 has 192 divisors, whose sum is σ = 1537099200. Its totient is φ = 152285184.

The previous prime is 485937791. The next prime is 485937799. The reversal of 485937792 is 297739584.

485937792 is a `hidden beast` number, since 48 + 593 + 7 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×485937792² = 472271075387670528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (485937791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528309 + ... + 529227.

It is an arithmetic number, because the mean of its divisors is an integer number (8005725).

Almost surely, 2^485937792 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 485937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768549600).

485937792 is an abundant number, since it is smaller than the sum of its proper divisors (1051161408).

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

485937792 is an equidigital number, since it uses as much as digits as its factorization.

485937792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 941 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 485937792 is about 22043.9967338049. The cubic root of 485937792 is about 786.1888713414.

The spelling of 485937792 in words is "four hundred eighty-five million, nine hundred thirty-seven thousand, seven hundred ninety-two".