48473600 has 120 divisors (see below), whose sum is σ = 137507568. Its totient is φ = 16588800.

The previous prime is 48473573. The next prime is 48473611. The reversal of 48473600 is 637484.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89330 + ... + 89870.

Almost surely, 2^48473600 is an apocalyptic number.

48473600 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 48473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68753784).

48473600 is an abundant number, since it is smaller than the sum of its proper divisors (89033968).

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

48473600 is an equidigital number, since it uses as much as digits as its factorization.

48473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 48473600 is about 6962.2984710511. The cubic root of 48473600 is about 364.6154704370.

The spelling of 48473600 in words is "forty-eight million, four hundred seventy-three thousand, six hundred".