48006400 has 108 divisors (see below), whose sum is σ = 128185372. Its totient is φ = 17694720.

The previous prime is 48006379. The next prime is 48006401. The reversal of 48006400 is 460084.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 47997184 = 96^2 + 6928^2 .

It is a super-2 number, since 2×48006400² = 4609228881920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48006401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82912 + ... + 83488.

Almost surely, 2^48006400 is an apocalyptic number.

48006400 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 48006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64092686).

48006400 is an abundant number, since it is smaller than the sum of its proper divisors (80178972).

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

48006400 is a wasteful number, since it uses less digits than its factorization.

48006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 48006400 is about 6928.6650950959. The cubic root of 48006400 is about 363.4402700317.

Adding to 48006400 its reverse (460084), we get a palindrome (48466484).

The spelling of 48006400 in words is "forty-eight million, six thousand, four hundred".