48019200 has 216 divisors, whose sum is σ = 164999856. Its totient is φ = 12288000.

The previous prime is 48019199. The next prime is 48019207. The reversal of 48019200 is 291084.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48019207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787170 + ... + 787230.

Almost surely, 2^48019200 is an apocalyptic number.

48019200 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 48019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82499928).

48019200 is an abundant number, since it is smaller than the sum of its proper divisors (116980656).

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

48019200 is a wasteful number, since it uses less digits than its factorization.

48019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 48019200 is about 6929.5887323852. The cubic root of 48019200 is about 363.4725686561.

The spelling of 48019200 in words is "forty-eight million, nineteen thousand, two hundred".