1605416400 has 540 divisors, whose sum is σ = 6836169600. Its totient is φ = 346913280.

The previous prime is 1605416389. The next prime is 1605416411. The reversal of 1605416400 is 46145061.

1605416400 is a `hidden beast` number, since 1 + 60 + 541 + 64 + 0 + 0 = 666.

1605416400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1605416389) and next prime (1605416411).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3351361 + ... + 3351839.

Almost surely, 2^1605416400 is an apocalyptic number.

1605416400 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 1605416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418084800).

1605416400 is an abundant number, since it is smaller than the sum of its proper divisors (5230753200).

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

1605416400 is a wasteful number, since it uses less digits than its factorization.

1605416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1605416400 is about 40067.6477971942. The cubic root of 1605416400 is about 1170.9254129305.

The spelling of 1605416400 in words is "one billion, six hundred five million, four hundred sixteen thousand, four hundred".