609315408 has 240 divisors, whose sum is σ = 1989594880. Its totient is φ = 172440576.

The previous prime is 609315337. The next prime is 609315409. The reversal of 609315408 is 804513906.

609315408 is a `hidden beast` number, since 609 + 3 + 1 + 5 + 40 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609315409) 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 47 ways as a sum of consecutive naturals, for example, 1315785 + ... + 1316247.

Almost surely, 2^609315408 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 609315408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994797440).

609315408 is an abundant number, since it is smaller than the sum of its proper divisors (1380279472).

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

609315408 is a wasteful number, since it uses less digits than its factorization.

609315408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 609315408 is about 24684.3150198664. The cubic root of 609315408 is about 847.7752237402.

The spelling of 609315408 in words is "six hundred nine million, three hundred fifteen thousand, four hundred eight".