48664000 has 224 divisors, whose sum is σ = 152156160. Its totient is φ = 14976000.

The previous prime is 48663973. The next prime is 48664019. The reversal of 48664000 is 46684.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 48664000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615961 + ... + 616039.

Almost surely, 2^48664000 is an apocalyptic number.

48664000 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 48664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

48664000 is an abundant number, since it is smaller than the sum of its proper divisors (103492160).

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

48664000 is a wasteful number, since it uses less digits than its factorization.

48664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 48664000 is about 6975.9587154742. The cubic root of 48664000 is about 365.0922391515.

The spelling of 48664000 in words is "forty-eight million, six hundred sixty-four thousand".