1016385408 has 192 divisors, whose sum is σ = 3110955120. Its totient is φ = 330117120.

The previous prime is 1016385407. The next prime is 1016385421. The reversal of 1016385408 is 8045836101.

1016385408 is a `hidden beast` number, since 10 + 1 + 638 + 5 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016385401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1274866 + ... + 1275662.

Almost surely, 2^1016385408 is an apocalyptic number.

1016385408 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 1016385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555477560).

1016385408 is an abundant number, since it is smaller than the sum of its proper divisors (2094569712).

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

1016385408 is an frugal number, since it uses more digits than its factorization.

1016385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1016385408 is about 31880.7999899626. The cubic root of 1016385408 is about 1005.4322400015.

The spelling of 1016385408 in words is "one billion, sixteen million, three hundred eighty-five thousand, four hundred eight".