48972960 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 12848640.

The previous prime is 48972949. The next prime is 48972991. The reversal of 48972960 is 6927984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×48972960² = 4796701622323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102001 + ... + 102479.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^48972960 is an apocalyptic number.

48972960 is a gapful number since it is divisible by the number (40) 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 48972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

48972960 is an abundant number, since it is smaller than the sum of its proper divisors (120854880).

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

48972960 is a wasteful number, since it uses less digits than its factorization.

48972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 48972960 is about 6998.0683048967. The cubic root of 48972960 is about 365.8632473064.

The spelling of 48972960 in words is "forty-eight million, nine hundred seventy-two thousand, nine hundred sixty".