48401200 has 60 divisors (see below), whose sum is σ = 121362768. Its totient is φ = 18515200.

The previous prime is 48401183. The next prime is 48401209. The reversal of 48401200 is 210484.

It is a super-2 number, since 2×48401200² = 4685352322880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48401209) 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 11 ways as a sum of consecutive naturals, for example, 6570 + ... + 11830.

Almost surely, 2^48401200 is an apocalyptic number.

48401200 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 48401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60681384).

48401200 is an abundant number, since it is smaller than the sum of its proper divisors (72961568).

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

48401200 is a wasteful number, since it uses less digits than its factorization.

48401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 48401200 is about 6957.0970957721. The cubic root of 48401200 is about 364.4338505194.

Adding to 48401200 its reverse (210484), we get a palindrome (48611684).

The spelling of 48401200 in words is "forty-eight million, four hundred one thousand, two hundred".