1456480440 has 320 divisors, whose sum is σ = 5356834560. Its totient is φ = 353341440.

The previous prime is 1456480379. The next prime is 1456480447. The reversal of 1456480440 is 440846541.

It is a happy number.

1456480440 is a `hidden beast` number, since 1 + 4 + 5 + 648 + 0 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1456480395 and 1456480404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456480447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1707054 + ... + 1707906.

It is an arithmetic number, because the mean of its divisors is an integer number (16740108).

Almost surely, 2^1456480440 is an apocalyptic number.

1456480440 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 1456480440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678417280).

1456480440 is an abundant number, since it is smaller than the sum of its proper divisors (3900354120).

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

1456480440 is a wasteful number, since it uses less digits than its factorization.

1456480440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1456480440 is about 38163.8630120170. The cubic root of 1456480440 is about 1133.5348726551.

The spelling of 1456480440 in words is "one billion, four hundred fifty-six million, four hundred eighty thousand, four hundred forty".