252444000480 has 96 divisors (see below), whose sum is σ = 908798413824. Its totient is φ = 57701485056.

The previous prime is 252444000409. The next prime is 252444000481. The reversal of 252444000480 is 84000444252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252444000481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37562712 + ... + 37569431.

It is an arithmetic number, because the mean of its divisors is an integer number (9466650144).

Almost surely, 2^252444000480 is an apocalyptic number.

252444000480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252444000480 is an abundant number, since it is smaller than the sum of its proper divisors (656354413344).

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

252444000480 is a wasteful number, since it uses less digits than its factorization.

252444000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75132168 (or 75132160 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The spelling of 252444000480 in words is "two hundred fifty-two billion, four hundred forty-four million, four hundred eighty", and thus it is an aban number.