1084406400 has 768 divisors, whose sum is σ = 4978252800. Its totient is φ = 223948800.

The previous prime is 1084406357. The next prime is 1084406413. The reversal of 1084406400 is 46044801.

1084406400 is a `hidden beast` number, since 10 + 8 + 4 + 4 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6652719 + ... + 6652881.

It is an arithmetic number, because the mean of its divisors is an integer number (6482100).

Almost surely, 2^1084406400 is an apocalyptic number.

1084406400 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 1084406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489126400).

1084406400 is an abundant number, since it is smaller than the sum of its proper divisors (3893846400).

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

1084406400 is a wasteful number, since it uses less digits than its factorization.

1084406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1084406400 is about 32930.3264484274. The cubic root of 1084406400 is about 1027.3790150053.

The spelling of 1084406400 in words is "one billion, eighty-four million, four hundred six thousand, four hundred".