1016405456 has 160 divisors (see below), whose sum is σ = 2399846400. Its totient is φ = 411747840.

The previous prime is 1016405447. The next prime is 1016405459. The reversal of 1016405456 is 6545046101.

1016405456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016405459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4557761 + ... + 4557983.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^1016405456 is an apocalyptic number.

1016405456 is a gapful number since it is divisible by the number (16) 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 1016405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

1016405456 is an abundant number, since it is smaller than the sum of its proper divisors (1383440944).

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

1016405456 is a wasteful number, since it uses less digits than its factorization.

1016405456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 1016405456 is about 31881.1144096313. The cubic root of 1016405456 is about 1005.4388506083.

The spelling of 1016405456 in words is "one billion, sixteen million, four hundred five thousand, four hundred fifty-six".