48290400 has 216 divisors, whose sum is σ = 179754120. Its totient is φ = 12165120.

The previous prime is 48290393. The next prime is 48290401. The reversal of 48290400 is 409284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48290401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136624 + ... + 136976.

It is an arithmetic number, because the mean of its divisors is an integer number (832195).

Almost surely, 2^48290400 is an apocalyptic number.

48290400 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 48290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89877060).

48290400 is an abundant number, since it is smaller than the sum of its proper divisors (131463720).

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

48290400 is a wasteful number, since it uses less digits than its factorization.

48290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48290400 is about 6949.1294418798. The cubic root of 48290400 is about 364.1555507944.

Adding to 48290400 its reverse (409284), we get a palindrome (48699684).

The spelling of 48290400 in words is "forty-eight million, two hundred ninety thousand, four hundred".