534416456 has 64 divisors (see below), whose sum is σ = 1188700800. Its totient is φ = 220465152.

The previous prime is 534416453. The next prime is 534416459. The reversal of 534416456 is 654614435.

It is an interprime number because it is at equal distance from previous prime (534416453) and next prime (534416459).

It is not an unprimeable number, because it can be changed into a prime (534416453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199655 + ... + 202313.

It is an arithmetic number, because the mean of its divisors is an integer number (18573450).

Almost surely, 2^534416456 is an apocalyptic number.

534416456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534416456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594350400).

534416456 is an abundant number, since it is smaller than the sum of its proper divisors (654284344).

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

534416456 is a wasteful number, since it uses less digits than its factorization.

534416456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2802 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 534416456 is about 23117.4491672416. The cubic root of 534416456 is about 811.5088757654.

The spelling of 534416456 in words is "five hundred thirty-four million, four hundred sixteen thousand, four hundred fifty-six".