48146400 has 180 divisors, whose sum is σ = 175816872. Its totient is φ = 12821760.

The previous prime is 48146387. The next prime is 48146407. The reversal of 48146400 is 464184.

48146400 is a `hidden beast` number, since 4 + 8 + 14 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48146407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64429 + ... + 65171.

Almost surely, 2^48146400 is an apocalyptic number.

48146400 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 48146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87908436).

48146400 is an abundant number, since it is smaller than the sum of its proper divisors (127670472).

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

48146400 is a wasteful number, since it uses less digits than its factorization.

48146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48146400 is about 6938.7606962627. The cubic root of 48146400 is about 363.7932247496.

The spelling of 48146400 in words is "forty-eight million, one hundred forty-six thousand, four hundred".