456434416 has 20 divisors (see below), whose sum is σ = 930886600. Its totient is φ = 216205632.

The previous prime is 456434413. The next prime is 456434417. The reversal of 456434416 is 614434654.

It is a super-2 number, since 2×456434416² = 416664752218522112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456434413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 750411 + ... + 751018.

It is an arithmetic number, because the mean of its divisors is an integer number (46544330).

Almost surely, 2^456434416 is an apocalyptic number.

It is an amenable number.

456434416 is an abundant number, since it is smaller than the sum of its proper divisors (474452184).

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

456434416 is a wasteful number, since it uses less digits than its factorization.

456434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501456 (or 1501450 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 456434416 is about 21364.3257792049. The cubic root of 456434416 is about 769.9445712616.

The spelling of 456434416 in words is "four hundred fifty-six million, four hundred thirty-four thousand, four hundred sixteen".