48468200 has 48 divisors (see below), whose sum is σ = 122938560. Its totient is φ = 17624000.

The previous prime is 48468197. The next prime is 48468209. The reversal of 48468200 is 286484.

It is a super-2 number, since 2×48468200² = 4698332822480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48468209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8816 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^48468200 is an apocalyptic number.

48468200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48468200 is an abundant number, since it is smaller than the sum of its proper divisors (74470360).

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

48468200 is a wasteful number, since it uses less digits than its factorization.

48468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22058 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 48468200 is about 6961.9106572837. The cubic root of 48468200 is about 364.6019304437.

The spelling of 48468200 in words is "forty-eight million, four hundred sixty-eight thousand, two hundred".