1206374400 has 936 divisors, whose sum is σ = 5704081344. Its totient is φ = 235929600.

The previous prime is 1206374387. The next prime is 1206374453. The reversal of 1206374400 is 44736021.

1206374400 is a `hidden beast` number, since 1 + 20 + 637 + 4 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70963192 + ... + 70963208.

It is an arithmetic number, because the mean of its divisors is an integer number (6094104).

Almost surely, 2^1206374400 is an apocalyptic number.

1206374400 is a gapful number since it is divisible by the number (10) 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 1206374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852040672).

1206374400 is an abundant number, since it is smaller than the sum of its proper divisors (4497706944).

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

1206374400 is a wasteful number, since it uses less digits than its factorization.

1206374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1206374400 is about 34732.9008290410. The cubic root of 1206374400 is about 1064.5368613753.

The spelling of 1206374400 in words is "one billion, two hundred six million, three hundred seventy-four thousand, four hundred".