1458105456 has 80 divisors (see below), whose sum is σ = 3853289088. Its totient is φ = 474988800.

The previous prime is 1458105443. The next prime is 1458105461. The reversal of 1458105456 is 6545018541.

1458105456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419566 + ... + 423026.

Almost surely, 2^1458105456 is an apocalyptic number.

1458105456 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 1458105456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926644544).

1458105456 is an abundant number, since it is smaller than the sum of its proper divisors (2395183632).

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

1458105456 is a wasteful number, since it uses less digits than its factorization.

1458105456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 1458105456 is about 38185.1470600808. The cubic root of 1458105456 is about 1133.9562829776.

The spelling of 1458105456 in words is "one billion, four hundred fifty-eight million, one hundred five thousand, four hundred fifty-six".