609406416 has 100 divisors (see below), whose sum is σ = 1769511744. Its totient is φ = 202478400.

The previous prime is 609406403. The next prime is 609406433. The reversal of 609406416 is 614604906.

609406416 is a `hidden beast` number, since 6 + 0 + 9 + 4 + 0 + 641 + 6 = 666.

609406416 is a nontrivial binomial coefficient, being equal to C(34912, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 558031 + ... + 559121.

Almost surely, 2^609406416 is an apocalyptic number.

609406416 is the 34911-st triangular number and also the 17456-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884755872).

609406416 is an abundant number, since it is smaller than the sum of its proper divisors (1160105328).

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

609406416 is a wasteful number, since it uses less digits than its factorization.

609406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 609406416 is about 24686.1583888624. The cubic root of 609406416 is about 847.8174298432.

The spelling of 609406416 in words is "six hundred nine million, four hundred six thousand, four hundred sixteen".