48776000 has 224 divisors, whose sum is σ = 150888192. Its totient is φ = 15206400.

The previous prime is 48775997. The next prime is 48776017. The reversal of 48776000 is 67784.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 727967 + ... + 728033.

It is an arithmetic number, because the mean of its divisors is an integer number (673608).

Almost surely, 2^48776000 is an apocalyptic number.

48776000 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 48776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444096).

48776000 is an abundant number, since it is smaller than the sum of its proper divisors (102112192).

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

48776000 is a wasteful number, since it uses less digits than its factorization.

48776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 48776000 is about 6983.9816723700. The cubic root of 48776000 is about 365.3721106595.

The spelling of 48776000 in words is "forty-eight million, seven hundred seventy-six thousand".