1456755120 has 240 divisors, whose sum is σ = 5071996800. Its totient is φ = 374409216.

The previous prime is 1456755119. The next prime is 1456755127. The reversal of 1456755120 is 215576541.

1456755120 is a `hidden beast` number, since 1 + 45 + 67 + 551 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1456755127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3969177 + ... + 3969543.

It is an arithmetic number, because the mean of its divisors is an integer number (21133320).

Almost surely, 2^1456755120 is an apocalyptic number.

1456755120 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 1456755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535998400).

1456755120 is an abundant number, since it is smaller than the sum of its proper divisors (3615241680).

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

1456755120 is a wasteful number, since it uses less digits than its factorization.

1456755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1456755120 is about 38167.4615346633. The cubic root of 1456755120 is about 1133.6061265672.

The spelling of 1456755120 in words is "one billion, four hundred fifty-six million, seven hundred fifty-five thousand, one hundred twenty".