48466400 has 72 divisors (see below), whose sum is σ = 120929760. Its totient is φ = 18959360.

The previous prime is 48466357. The next prime is 48466403. The reversal of 48466400 is 466484.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48466403) 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, 36956 + ... + 38244.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^48466400 is an apocalyptic number.

48466400 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 48466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60464880).

48466400 is an abundant number, since it is smaller than the sum of its proper divisors (72463360).

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

48466400 is a wasteful number, since it uses less digits than its factorization.

48466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 48466400 is about 6961.7813812271. The cubic root of 48466400 is about 364.5974168891.

The spelling of 48466400 in words is "forty-eight million, four hundred sixty-six thousand, four hundred".