48286400 has 84 divisors (see below), whose sum is σ = 120377712. Its totient is φ = 19061760.

The previous prime is 48286387. The next prime is 48286411. The reversal of 48286400 is 468284.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164654 + ... + 164946.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 2^48286400 is an apocalyptic number.

48286400 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 48286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856).

48286400 is an abundant number, since it is smaller than the sum of its proper divisors (72091312).

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

48286400 is a wasteful number, since it uses less digits than its factorization.

48286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 48286400 is about 6948.8416300848. The cubic root of 48286400 is about 364.1454959151.

The spelling of 48286400 in words is "forty-eight million, two hundred eighty-six thousand, four hundred".