48398400 has 126 divisors (see below), whose sum is σ = 172070522. Its totient is φ = 12902400.

The previous prime is 48398393. The next prime is 48398407. The reversal of 48398400 is 489384.

It is an interprime number because it is at equal distance from previous prime (48398393) and next prime (48398407).

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 41679936 = 2592^2 + 6456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48398407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12720 + ... + 16080.

Almost surely, 2^48398400 is an apocalyptic number.

48398400 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 48398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86035261).

48398400 is an abundant number, since it is smaller than the sum of its proper divisors (123672122).

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

48398400 is a wasteful number, since it uses less digits than its factorization.

48398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48398400 is about 6956.8958595052. The cubic root of 48398400 is about 364.4268229081.

It can be divided in two parts, 4 and 8398400, that added together give a square (8398404 = 2898²).

The spelling of 48398400 in words is "forty-eight million, three hundred ninety-eight thousand, four hundred".