612424416 has 96 divisors (see below), whose sum is σ = 1716422400. Its totient is φ = 190632960.

The previous prime is 612424411. The next prime is 612424433. The reversal of 612424416 is 614424216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612424411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127140 + ... + 131868.

It is an arithmetic number, because the mean of its divisors is an integer number (17879400).

Almost surely, 2^612424416 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 612424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858211200).

612424416 is an abundant number, since it is smaller than the sum of its proper divisors (1103997984).

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

612424416 is a wasteful number, since it uses less digits than its factorization.

612424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4824 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 612424416 is about 24747.2102670180. The cubic root of 612424416 is about 849.2146915226.

The spelling of 612424416 in words is "six hundred twelve million, four hundred twenty-four thousand, four hundred sixteen".