1456166224 has 40 divisors (see below), whose sum is σ = 2933423360. Its totient is φ = 699494400.

The previous prime is 1456166221. The next prime is 1456166269. The reversal of 1456166224 is 4226616541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456166221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58384 + ... + 79504.

It is an arithmetic number, because the mean of its divisors is an integer number (73335584).

Almost surely, 2^1456166224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456166224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466711680).

1456166224 is an abundant number, since it is smaller than the sum of its proper divisors (1477257136).

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

1456166224 is a wasteful number, since it uses less digits than its factorization.

1456166224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21299 (or 21293 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 1456166224 is about 38159.7461207488. The cubic root of 1456166224 is about 1133.4533518418.

The spelling of 1456166224 in words is "one billion, four hundred fifty-six million, one hundred sixty-six thousand, two hundred twenty-four".