1456207120 has 80 divisors (see below), whose sum is σ = 3571467840. Its totient is φ = 550651392.

The previous prime is 1456207091. The next prime is 1456207121. The reversal of 1456207120 is 217026541.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1456207121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113507 + ... + 1114813.

It is an arithmetic number, because the mean of its divisors is an integer number (44643348).

Almost surely, 2^1456207120 is an apocalyptic number.

1456207120 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 1456207120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785733920).

1456207120 is an abundant number, since it is smaller than the sum of its proper divisors (2115260720).

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

1456207120 is a wasteful number, since it uses less digits than its factorization.

1456207120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1456207120 is about 38160.2819696081. The cubic root of 1456207120 is about 1133.4639626438.

The spelling of 1456207120 in words is "one billion, four hundred fifty-six million, two hundred seven thousand, one hundred twenty".