485723952 has 180 divisors, whose sum is σ = 1615656016. Its totient is φ = 138568320.

The previous prime is 485723951. The next prime is 485723971. The reversal of 485723952 is 259327584.

485723952 is a `hidden beast` number, since 48 + 572 + 39 + 5 + 2 = 666.

Its product of digits (604800) is a multiple of the sum of its prime factors (700).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 485723898 and 485723907.

It is not an unprimeable number, because it can be changed into a prime (485723951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734502 + ... + 735162.

Almost surely, 2^485723952 is an apocalyptic number.

485723952 is a gapful number since it is divisible by the number (42) 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 485723952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807828008).

485723952 is an abundant number, since it is smaller than the sum of its proper divisors (1129932064).

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

485723952 is an frugal number, since it uses more digits than its factorization.

485723952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 485723952 is about 22039.1458999663. The cubic root of 485723952 is about 786.0735319588.

The spelling of 485723952 in words is "four hundred eighty-five million, seven hundred twenty-three thousand, nine hundred fifty-two".