48496400 has 60 divisors (see below), whose sum is σ = 120301824. Its totient is φ = 18768000.

The previous prime is 48496391. The next prime is 48496423. The reversal of 48496400 is 469484.

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, 10445 + ... + 14355.

Almost surely, 2^48496400 is an apocalyptic number.

48496400 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 48496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60150912).

48496400 is an abundant number, since it is smaller than the sum of its proper divisors (71805424).

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

48496400 is a wasteful number, since it uses less digits than its factorization.

48496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 48496400 is about 6963.9356688585. The cubic root of 48496400 is about 364.6726282140.

The spelling of 48496400 in words is "forty-eight million, four hundred ninety-six thousand, four hundred".