614484416 has 56 divisors (see below), whose sum is σ = 1500774240. Its totient is φ = 243090432.

The previous prime is 614484413. The next prime is 614484421.

614484416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×614484416² = 755182195013722112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 614484416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614484413) 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, 46931 + ... + 58578.

It is an arithmetic number, because the mean of its divisors is an integer number (26799540).

Almost surely, 2^614484416 is an apocalyptic number.

It is an amenable number.

614484416 is an abundant number, since it is smaller than the sum of its proper divisors (886289824).

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

614484416 is a wasteful number, since it uses less digits than its factorization.

614484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105541 (or 105531 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 614484416 is about 24788.7961789192. The cubic root of 614484416 is about 850.1657881923.

The spelling of 614484416 in words is "six hundred fourteen million, four hundred eighty-four thousand, four hundred sixteen".