456541434 has 20 divisors (see below), whose sum is σ = 1022991354. Its totient is φ = 152180424.

The previous prime is 456541429. The next prime is 456541439. The reversal of 456541434 is 434145654.

It is an interprime number because it is at equal distance from previous prime (456541429) and next prime (456541439).

It can be written as a sum of positive squares in only one way, i.e., 416282409 + 40259025 = 20403^2 + 6345^2 .

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

It is not an unprimeable number, because it can be changed into a prime (456541439) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1408917 + ... + 1409240.

Almost surely, 2^456541434 is an apocalyptic number.

456541434 is an abundant number, since it is smaller than the sum of its proper divisors (566449920).

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

456541434 is a wasteful number, since it uses less digits than its factorization.

456541434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818171 (or 2818162 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 456541434 is about 21366.8302281831. The cubic root of 456541434 is about 770.0047416361.

The spelling of 456541434 in words is "four hundred fifty-six million, five hundred forty-one thousand, four hundred thirty-four".