1600426944 has 224 divisors, whose sum is σ = 4928616000. Its totient is φ = 508612608.

The previous prime is 1600426931. The next prime is 1600426967. The reversal of 1600426944 is 4496240061.

1600426944 is a `hidden beast` number, since 1 + 600 + 4 + 2 + 6 + 9 + 44 = 666.

It is a super-2 number, since 2×1600426944² = 5122732806162358272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1600426899 and 1600426908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5462062 + ... + 5462354.

It is an arithmetic number, because the mean of its divisors is an integer number (22002750).

Almost surely, 2^1600426944 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 1600426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464308000).

1600426944 is an abundant number, since it is smaller than the sum of its proper divisors (3328189056).

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

1600426944 is a wasteful number, since it uses less digits than its factorization.

1600426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1600426944 is about 40005.3364440296. The cubic root of 1600426944 is about 1169.7111186856.

The spelling of 1600426944 in words is "one billion, six hundred million, four hundred twenty-six thousand, nine hundred forty-four".