456949674 has 80 divisors (see below), whose sum is σ = 1062036360. Its totient is φ = 146741760.

The previous prime is 456949673. The next prime is 456949679. The reversal of 456949674 is 476949654.

It is a happy number.

456949674 is a `hidden beast` number, since 4 + 569 + 4 + 9 + 6 + 74 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91872225 + 365077449 = 9585^2 + 19107^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 456949674.

It is not an unprimeable number, because it can be changed into a prime (456949673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590752 + ... + 591524.

Almost surely, 2^456949674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456949674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531018180).

456949674 is an abundant number, since it is smaller than the sum of its proper divisors (605086686).

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

456949674 is a wasteful number, since it uses less digits than its factorization.

456949674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 456949674 is about 21376.3812185318. The cubic root of 456949674 is about 770.2341863716.

The spelling of 456949674 in words is "four hundred fifty-six million, nine hundred forty-nine thousand, six hundred seventy-four".