48038400 has 240 divisors, whose sum is σ = 177592800. Its totient is φ = 12718080.

The previous prime is 48038381. The next prime is 48038407. The reversal of 48038400 is 483084.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (48038407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345531 + ... + 345669.

It is an arithmetic number, because the mean of its divisors is an integer number (739970).

Almost surely, 2^48038400 is an apocalyptic number.

48038400 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 48038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88796400).

48038400 is an abundant number, since it is smaller than the sum of its proper divisors (129554400).

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

48038400 is a wasteful number, since it uses less digits than its factorization.

48038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48038400 is about 6930.9739575330. The cubic root of 48038400 is about 363.5210058327.

It can be divided in two parts, 4803 and 8400, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 48038400 in words is "forty-eight million, thirty-eight thousand, four hundred".