609258240 has 432 divisors, whose sum is σ = 2334329760. Its totient is φ = 150405120.

The previous prime is 609258229. The next prime is 609258253. The reversal of 609258240 is 42852906.

It is a happy number.

609258240 is a `hidden beast` number, since 609 + 2 + 5 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 609258195 and 609258204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9987810 + ... + 9987870.

Almost surely, 2^609258240 is an apocalyptic number.

609258240 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 609258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167164880).

609258240 is an abundant number, since it is smaller than the sum of its proper divisors (1725071520).

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

609258240 is a wasteful number, since it uses less digits than its factorization.

609258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 609258240 is about 24683.1570103988. The cubic root of 609258240 is about 847.7487092130.

The spelling of 609258240 in words is "six hundred nine million, two hundred fifty-eight thousand, two hundred forty".