48048000 has 512 divisors, whose sum is σ = 213857280. Its totient is φ = 9216000.

The previous prime is 48047971. The next prime is 48048059. The reversal of 48048000 is 84084.

It is a super-2 number, since 2×48048000² = 4617220608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3695994 + ... + 3696006.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^48048000 is an apocalyptic number.

48048000 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 48048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

48048000 is an abundant number, since it is smaller than the sum of its proper divisors (165809280).

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

48048000 is a wasteful number, since it uses less digits than its factorization.

48048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48048000 is about 6931.6664662980. Note that the first 3 decimals coincide. The cubic root of 48048000 is about 363.5452195812.

It can be divided in two parts, 480 and 48000, that multiplied together give a square (23040000 = 4800²).

The spelling of 48048000 in words is "forty-eight million, forty-eight thousand".