1600125408 has 384 divisors, whose sum is σ = 5748019200. Its totient is φ = 422682624.

The previous prime is 1600125353. The next prime is 1600125467. The reversal of 1600125408 is 8045210061.

1600125408 is a `hidden beast` number, since 1 + 600 + 1 + 2 + 54 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8122366 + ... + 8122562.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2^1600125408 is an apocalyptic number.

1600125408 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 1600125408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874009600).

1600125408 is an abundant number, since it is smaller than the sum of its proper divisors (4147893792).

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

1600125408 is a wasteful number, since it uses less digits than its factorization.

1600125408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1600125408 is about 40001.5675692841. The cubic root of 1600125408 is about 1169.6376524215.

Adding to 1600125408 its reverse (8045210061), we get a palindrome (9645335469).

The spelling of 1600125408 in words is "one billion, six hundred million, one hundred twenty-five thousand, four hundred eight".