1466739456 has 288 divisors, whose sum is σ = 4966821888. Its totient is φ = 373800960.

The previous prime is 1466739401. The next prime is 1466739493. The reversal of 1466739456 is 6549376641.

It is a junction number, because it is equal to n+sod(n) for n = 1466739399 and 1466739408.

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, 2166190 + ... + 2166866.

Almost surely, 2^1466739456 is an apocalyptic number.

1466739456 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 1466739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483410944).

1466739456 is an abundant number, since it is smaller than the sum of its proper divisors (3500082432).

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

1466739456 is a wasteful number, since it uses less digits than its factorization.

1466739456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 1466739456 is about 38298.0346232023. The cubic root of 1466739456 is about 1136.1900759775.

The spelling of 1466739456 in words is "one billion, four hundred sixty-six million, seven hundred thirty-nine thousand, four hundred fifty-six".