1205678448 has 240 divisors, whose sum is σ = 3790521280. Its totient is φ = 357447168.

The previous prime is 1205678447. The next prime is 1205678449. The reversal of 1205678448 is 8448765021.

1205678448 is a `hidden beast` number, since 1 + 2 + 0 + 567 + 84 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1205678447) and next prime (1205678449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205678447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11705565 + ... + 11705667.

Almost surely, 2^1205678448 is an apocalyptic number.

1205678448 is a gapful number since it is divisible by the number (18) 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 1205678448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895260640).

1205678448 is an abundant number, since it is smaller than the sum of its proper divisors (2584842832).

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

1205678448 is a wasteful number, since it uses less digits than its factorization.

1205678448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1205678448 is about 34722.8807560663. The cubic root of 1205678448 is about 1064.3321131449.

The spelling of 1205678448 in words is "one billion, two hundred five million, six hundred seventy-eight thousand, four hundred forty-eight".