48480800 has 36 divisors (see below), whose sum is σ = 118355706. Its totient is φ = 19392000.

The previous prime is 48480797. The next prime is 48480811. The reversal of 48480800 is 808484.

It can be written as a sum of positive squares in 3 ways, for example, as 45751696 + 2729104 = 6764^2 + 1652^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29501 + ... + 31100.

Almost surely, 2^48480800 is an apocalyptic number.

48480800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48480800 is an abundant number, since it is smaller than the sum of its proper divisors (69874906).

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

48480800 is a wasteful number, since it uses less digits than its factorization.

48480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60621 (or 60608 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 48480800 is about 6962.8155224736. The cubic root of 48480800 is about 364.6335221972.

The spelling of 48480800 in words is "forty-eight million, four hundred eighty thousand, eight hundred".