1456423776 has 72 divisors (see below), whose sum is σ = 4194197280. Its totient is φ = 479321856.

The previous prime is 1456423763. The next prime is 1456423783. The reversal of 1456423776 is 6773246541.

1456423776 is a `hidden beast` number, since 14 + 564 + 2 + 3 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1456423776³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9255 + ... + 54758.

It is an arithmetic number, because the mean of its divisors is an integer number (58252740).

Almost surely, 2^1456423776 is an apocalyptic number.

1456423776 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 1456423776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097098640).

1456423776 is an abundant number, since it is smaller than the sum of its proper divisors (2737773504).

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

1456423776 is a wasteful number, since it uses less digits than its factorization.

1456423776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64108 (or 64097 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 1456423776 is about 38163.1206271185. The cubic root of 1456423776 is about 1133.5201725028.

The spelling of 1456423776 in words is "one billion, four hundred fifty-six million, four hundred twenty-three thousand, seven hundred seventy-six".