609396480 has 576 divisors, whose sum is σ = 2707891200. Its totient is φ = 126074880.

The previous prime is 609396461. The next prime is 609396521. The reversal of 609396480 is 84693906.

609396480 is a `hidden beast` number, since 609 + 39 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661006 + ... + 2661234.

It is an arithmetic number, because the mean of its divisors is an integer number (4701200).

Almost surely, 2^609396480 is an apocalyptic number.

609396480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353945600).

609396480 is an abundant number, since it is smaller than the sum of its proper divisors (2098494720).

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

609396480 is a wasteful number, since it uses less digits than its factorization.

609396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 609396480 is about 24685.9571416625. The cubic root of 609396480 is about 847.8128221027.

The spelling of 609396480 in words is "six hundred nine million, three hundred ninety-six thousand, four hundred eighty".