1456534080 has 168 divisors, whose sum is σ = 5024640192. Its totient is φ = 387265536.

The previous prime is 1456534073. The next prime is 1456534081. The reversal of 1456534080 is 804356541.

It is a happy number.

1456534080 is a `hidden beast` number, since 1 + 45 + 6 + 534 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1456534081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505757 + ... + 1506723.

Almost surely, 2^1456534080 is an apocalyptic number.

1456534080 is a gapful number since it is divisible by the number (10) 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 1456534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512320096).

1456534080 is an abundant number, since it is smaller than the sum of its proper divisors (3568106112).

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

1456534080 is a wasteful number, since it uses less digits than its factorization.

1456534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1456534080 is about 38164.5657645937. The cubic root of 1456534080 is about 1133.5487879499.

The spelling of 1456534080 in words is "one billion, four hundred fifty-six million, five hundred thirty-four thousand, eighty".