4609059840 has 704 divisors, whose sum is σ = 20468689920. Its totient is φ = 955514880.

The previous prime is 4609059823. The next prime is 4609059859. The reversal of 4609059840 is 489509064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10644264 + ... + 10644696.

Almost surely, 2^4609059840 is an apocalyptic number.

4609059840 is a gapful number since it is divisible by the number (40) 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 4609059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234344960).

4609059840 is an abundant number, since it is smaller than the sum of its proper divisors (15859630080).

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

4609059840 is a wasteful number, since it uses less digits than its factorization.

4609059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4609059840 is about 67890.0570039531. The cubic root of 4609059840 is about 1664.1946271362.

The spelling of 4609059840 in words is "four billion, six hundred nine million, fifty-nine thousand, eight hundred forty".