48546300 has 144 divisors (see below), whose sum is σ = 156989952. Its totient is φ = 11481600.

The previous prime is 48546283. The next prime is 48546359. The reversal of 48546300 is 364584.

48546300 = 105² + 106² + ... + 527².

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154944 + ... + 155256.

It is an arithmetic number, because the mean of its divisors is an integer number (1090208).

Almost surely, 2^48546300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48546300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78494976).

48546300 is an abundant number, since it is smaller than the sum of its proper divisors (108443652).

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

48546300 is a wasteful number, since it uses less digits than its factorization.

48546300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 48546300 is about 6967.5174919048. The cubic root of 48546300 is about 364.7976610442.

The spelling of 48546300 in words is "forty-eight million, five hundred forty-six thousand, three hundred".