252600480 has 288 divisors, whose sum is σ = 968018688. Its totient is φ = 59443200.

The previous prime is 252600479. The next prime is 252600487. The reversal of 252600480 is 84006252.

252600480 is a `hidden beast` number, since 2 + 52 + 600 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (252600487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585865 + ... + 586295.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2^252600480 is an apocalyptic number.

252600480 is a gapful number since it is divisible by the number (20) 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 252600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484009344).

252600480 is an abundant number, since it is smaller than the sum of its proper divisors (715418208).

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

252600480 is a wasteful number, since it uses less digits than its factorization.

252600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252600480 is about 15893.4099550726. The cubic root of 252600480 is about 632.1372612191.

The spelling of 252600480 in words is "two hundred fifty-two million, six hundred thousand, four hundred eighty".