456269346 has 72 divisors (see below), whose sum is σ = 1100621340. Its totient is φ = 135794880.

The previous prime is 456269329. The next prime is 456269351. The reversal of 456269346 is 643962654.

456269346 is a `hidden beast` number, since 45 + 6 + 269 + 346 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 445674321 + 10595025 = 21111^2 + 3255^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223860 + ... + 225888.

Almost surely, 2^456269346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456269346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550310670).

456269346 is an abundant number, since it is smaller than the sum of its proper divisors (644351994).

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

456269346 is a wasteful number, since it uses less digits than its factorization.

456269346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2078 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 456269346 is about 21360.4622141001. The cubic root of 456269346 is about 769.8517429747.

The spelling of 456269346 in words is "four hundred fifty-six million, two hundred sixty-nine thousand, three hundred forty-six".