1206804456 has 384 divisors, whose sum is σ = 4193280000. Its totient is φ = 307929600.

The previous prime is 1206804439. The next prime is 1206804461. The reversal of 1206804456 is 6544086021.

1206804456 is a `hidden beast` number, since 1 + 206 + 8 + 0 + 445 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1206804456.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6064245 + ... + 6064443.

It is an arithmetic number, because the mean of its divisors is an integer number (10920000).

Almost surely, 2^1206804456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206804456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096640000).

1206804456 is an abundant number, since it is smaller than the sum of its proper divisors (2986475544).

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

1206804456 is a wasteful number, since it uses less digits than its factorization.

1206804456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1206804456 is about 34739.0911798222. The cubic root of 1206804456 is about 1064.6633439648.

The spelling of 1206804456 in words is "one billion, two hundred six million, eight hundred four thousand, four hundred fifty-six".