48278400 has 192 divisors, whose sum is σ = 163918080. Its totient is φ = 12482560.

The previous prime is 48278393. The next prime is 48278407. The reversal of 48278400 is 487284.

It is an interprime number because it is at equal distance from previous prime (48278393) and next prime (48278407).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48278407) 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, 451147 + ... + 451253.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^48278400 is an apocalyptic number.

48278400 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 48278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

48278400 is an abundant number, since it is smaller than the sum of its proper divisors (115639680).

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

48278400 is a wasteful number, since it uses less digits than its factorization.

48278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 48278400 is about 6948.2659707297. The cubic root of 48278400 is about 364.1253844906.

The spelling of 48278400 in words is "forty-eight million, two hundred seventy-eight thousand, four hundred".