484690752 has 252 divisors, whose sum is σ = 1741732356. Its totient is φ = 127733760.

The previous prime is 484690751. The next prime is 484690763. The reversal of 484690752 is 257096484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 213627456 = 16464^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 484690698 and 484690707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484690751) 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, 366252 + ... + 367572.

Almost surely, 2^484690752 is an apocalyptic number.

484690752 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 484690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870866178).

484690752 is an abundant number, since it is smaller than the sum of its proper divisors (1257041604).

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

484690752 is a wasteful number, since it uses less digits than its factorization.

484690752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 484690752 is about 22015.6933118174. The cubic root of 484690752 is about 785.5157750154.

The spelling of 484690752 in words is "four hundred eighty-four million, six hundred ninety thousand, seven hundred fifty-two".