456553416 has 32 divisors (see below), whose sum is σ = 1245146400. Its totient is φ = 138349440.

The previous prime is 456553393. The next prime is 456553417. The reversal of 456553416 is 614355654.

It is a super-2 number, since 2×456553416² = 416882043322538112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456553417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864421 + ... + 864948.

It is an arithmetic number, because the mean of its divisors is an integer number (38910825).

Almost surely, 2^456553416 is an apocalyptic number.

It is an amenable number.

456553416 is an abundant number, since it is smaller than the sum of its proper divisors (788592984).

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

456553416 is a wasteful number, since it uses less digits than its factorization.

456553416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729389 (or 1729385 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 456553416 is about 21367.1106142127. The cubic root of 456553416 is about 770.0114778747.

The spelling of 456553416 in words is "four hundred fifty-six million, five hundred fifty-three thousand, four hundred sixteen".