48134400 has 216 divisors, whose sum is σ = 167280960. Its totient is φ = 12165120.

The previous prime is 48134399. The next prime is 48134417. The reversal of 48134400 is 443184.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441546 + ... + 441654.

Almost surely, 2^48134400 is an apocalyptic number.

48134400 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 48134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83640480).

48134400 is an abundant number, since it is smaller than the sum of its proper divisors (119146560).

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

48134400 is a wasteful number, since it uses less digits than its factorization.

48134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48134400 is about 6937.8959346476. The cubic root of 48134400 is about 363.7629983192.

Adding to 48134400 its reverse (443184), we get a palindrome (48577584).

The spelling of 48134400 in words is "forty-eight million, one hundred thirty-four thousand, four hundred".