48576000 has 320 divisors, whose sum is σ = 183845376. Its totient is φ = 11264000.

The previous prime is 48575993. The next prime is 48576007. The reversal of 48576000 is 67584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48575993) and next prime (48576007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48576007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111989 + ... + 2112011.

Almost surely, 2^48576000 is an apocalyptic number.

48576000 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 48576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

48576000 is an abundant number, since it is smaller than the sum of its proper divisors (135269376).

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

48576000 is a wasteful number, since it uses less digits than its factorization.

48576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 48576000 is about 6969.6484846798. The cubic root of 48576000 is about 364.8720387126.

The spelling of 48576000 in words is "forty-eight million, five hundred seventy-six thousand".