48304400 has 60 divisors (see below), whose sum is σ = 116830692. Its totient is φ = 19192320.

The previous prime is 48304379. The next prime is 48304409. The reversal of 48304400 is 440384.

It can be written as a sum of positive squares in 6 ways, for example, as 1628176 + 46676224 = 1276^2 + 6832^2 .

It is not an unprimeable number, because it can be changed into a prime (48304409) 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, 78494 + ... + 79106.

Almost surely, 2^48304400 is an apocalyptic number.

48304400 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 48304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58415346).

48304400 is an abundant number, since it is smaller than the sum of its proper divisors (68526292).

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

48304400 is a wasteful number, since it uses less digits than its factorization.

48304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 48304400 is about 6950.1366893033. The cubic root of 48304400 is about 364.1907384998.

Adding to 48304400 its reverse (440384), we get a palindrome (48744784).

The spelling of 48304400 in words is "forty-eight million, three hundred four thousand, four hundred".