1016448408 has 48 divisors (see below), whose sum is σ = 2758246920. Its totient is φ = 338155776.

The previous prime is 1016448403. The next prime is 1016448409. The reversal of 1016448408 is 8048446101.

1016448408 is a `hidden beast` number, since 1 + 0 + 1 + 644 + 8 + 4 + 0 + 8 = 666.

1016448408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1016448408² = 2066334732251468928, which contains 22 as substring.

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 (1016448403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24160 + ... + 51152.

Almost surely, 2^1016448408 is an apocalyptic number.

1016448408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1016448408 is an abundant number, since it is smaller than the sum of its proper divisors (1741798512).

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

1016448408 is a wasteful number, since it uses less digits than its factorization.

1016448408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27528 (or 27521 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1016448408 is about 31881.7880301592. The cubic root of 1016448408 is about 1005.4530132639.

The spelling of 1016448408 in words is "one billion, sixteen million, four hundred forty-eight thousand, four hundred eight".