48774900 has 144 divisors (see below), whose sum is σ = 152768000. Its totient is φ = 11975040.

The previous prime is 48774899. The next prime is 48774911. The reversal of 48774900 is 947784.

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, 245001 + ... + 245199.

Almost surely, 2^48774900 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 48774900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76384000).

48774900 is an abundant number, since it is smaller than the sum of its proper divisors (103993100).

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

48774900 is a wasteful number, since it uses less digits than its factorization.

48774900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 48774900 is about 6983.9029202875. The cubic root of 48774900 is about 365.3693640058.

The spelling of 48774900 in words is "forty-eight million, seven hundred seventy-four thousand, nine hundred".