488265624 has 256 divisors, whose sum is σ = 1747353600. Its totient is φ = 122601600.

The previous prime is 488265623. The next prime is 488265641. The reversal of 488265624 is 426562884.

488265624 is a `hidden beast` number, since 4 + 8 + 82 + 6 + 562 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 488265624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488265623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515119 + ... + 516065.

It is an arithmetic number, because the mean of its divisors is an integer number (6825600).

Almost surely, 2^488265624 is an apocalyptic number.

488265624 is a gapful number since it is divisible by the number (44) 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 488265624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873676800).

488265624 is an abundant number, since it is smaller than the sum of its proper divisors (1259087976).

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

488265624 is a wasteful number, since it uses less digits than its factorization.

488265624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1001 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 488265624 is about 22096.7333332328. The cubic root of 488265624 is about 787.4422560835.

The spelling of 488265624 in words is "four hundred eighty-eight million, two hundred sixty-five thousand, six hundred twenty-four".