451616 has 24 divisors (see below), whose sum is σ = 970704. Its totient is φ = 205120.

The previous prime is 451609. The next prime is 451621. The reversal of 451616 is 616154.

It is a super-2 number, since 2×451616² = 407914022912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 451591 and 451600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (40446).

2⁴⁵¹⁶¹⁶ is an apocalyptic number.

It is an amenable number.

451616 is an abundant number, since it is smaller than the sum of its proper divisors (519088).

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

451616 is a wasteful number, since it uses less digits than its factorization.

451616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 451616 is about 672.0238091020. The cubic root of 451616 is about 76.7225637308.

It can be divided in two parts, 45 and 1616, that added together give a palindrome (1661).

The spelling of 451616 in words is "four hundred fifty-one thousand, six hundred sixteen".