609612480 has 280 divisors, whose sum is σ = 2246040720. Its totient is φ = 156764160.

The previous prime is 609612463. The next prime is 609612499. The reversal of 609612480 is 84216906.

609612480 is a `hidden beast` number, since 609 + 6 + 1 + 2 + 48 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 751275 + ... + 752085.

It is an arithmetic number, because the mean of its divisors is an integer number (8021574).

Almost surely, 2^609612480 is an apocalyptic number.

609612480 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 609612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123020360).

609612480 is an abundant number, since it is smaller than the sum of its proper divisors (1636428240).

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

609612480 is a wasteful number, since it uses less digits than its factorization.

609612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 609612480 is about 24690.3317110160. The cubic root of 609612480 is about 847.9129790850.

It can be divided in two parts, 609 and 612480, that added together give a square (613089 = 783²).

The spelling of 609612480 in words is "six hundred nine million, six hundred twelve thousand, four hundred eighty".