608459040 has 480 divisors, whose sum is σ = 2590600320. Its totient is φ = 131383296.

The previous prime is 608459029. The next prime is 608459077. The reversal of 608459040 is 40954806.

608459040 is a `hidden beast` number, since 60 + 8 + 4 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 608458986 and 608459004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723504 + ... + 1723856.

It is an arithmetic number, because the mean of its divisors is an integer number (5397084).

Almost surely, 2^608459040 is an apocalyptic number.

608459040 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 608459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295300160).

608459040 is an abundant number, since it is smaller than the sum of its proper divisors (1982141280).

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

608459040 is a wasteful number, since it uses less digits than its factorization.

608459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

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

The square root of 608459040 is about 24666.9625207483. The cubic root of 608459040 is about 847.3778663378.

The spelling of 608459040 in words is "six hundred eight million, four hundred fifty-nine thousand, forty".