614464416 has 72 divisors (see below), whose sum is σ = 1750248864. Its totient is φ = 204485760.

The previous prime is 614464399. The next prime is 614464421.

614464416 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 644 + 1 + 6 = 666.

614464416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225301 + ... + 228011.

It is an arithmetic number, because the mean of its divisors is an integer number (24309012).

Almost surely, 2^614464416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875124432).

614464416 is an abundant number, since it is smaller than the sum of its proper divisors (1135784448).

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

614464416 is a wasteful number, since it uses less digits than its factorization.

614464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 614464416 is about 24788.3927675838. The cubic root of 614464416 is about 850.1565644703.

The spelling of 614464416 in words is "six hundred fourteen million, four hundred sixty-four thousand, four hundred sixteen".