123448800 has 72 divisors (see below), whose sum is σ = 401833656. Its totient is φ = 32919040.

The previous prime is 123448777. The next prime is 123448807. The reversal of 123448800 is 8844321.

It is a super-3 number, since 3×123448800³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123448807) 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, 23319 + ... + 28118.

It is an arithmetic number, because the mean of its divisors is an integer number (5581023).

Almost surely, 2^123448800 is an apocalyptic number.

123448800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123448800 is an abundant number, since it is smaller than the sum of its proper divisors (278384856).

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

123448800 is a wasteful number, since it uses less digits than its factorization.

123448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51460 (or 51447 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 123448800 is about 11110.7515497378. The cubic root of 123448800 is about 497.9231184037.

The spelling of 123448800 in words is "one hundred twenty-three million, four hundred forty-eight thousand, eight hundred".