2448454400 has 432 divisors, whose sum is σ = 7494187008. Its totient is φ = 774144000.

The previous prime is 2448454367. The next prime is 2448454457. The reversal of 2448454400 is 44548442.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56940779 + ... + 56940821.

Almost surely, 2^2448454400 is an apocalyptic number.

2448454400 is a gapful number since it is divisible by the number (20) 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 2448454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747093504).

2448454400 is an abundant number, since it is smaller than the sum of its proper divisors (5045732608).

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

2448454400 is a wasteful number, since it uses less digits than its factorization.

2448454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

The square root of 2448454400 is about 49481.8593021725. The cubic root of 2448454400 is about 1347.8162041351.

The spelling of 2448454400 in words is "two billion, four hundred forty-eight million, four hundred fifty-four thousand, four hundred".