1456505226 has 80 divisors (see below), whose sum is σ = 3769856640. Its totient is φ = 415393920.

The previous prime is 1456505221. The next prime is 1456505227. The reversal of 1456505226 is 6225056541.

1456505226 is a `hidden beast` number, since 145 + 6 + 505 + 2 + 2 + 6 = 666.

It is a super-2 number, since 2×1456505226² = 4242814946730622152, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1456505221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6255 + ... + 54333.

It is an arithmetic number, because the mean of its divisors is an integer number (47123208).

Almost surely, 2^1456505226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456505226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884928320).

1456505226 is an abundant number, since it is smaller than the sum of its proper divisors (2313351414).

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

1456505226 is a wasteful number, since it uses less digits than its factorization.

1456505226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48121 (or 48112 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1456505226 is about 38164.1877419132. The cubic root of 1456505226 is about 1133.5413026845.

The spelling of 1456505226 in words is "one billion, four hundred fifty-six million, five hundred five thousand, two hundred twenty-six".