590147040 has 384 divisors, whose sum is σ = 2250436608. Its totient is φ = 127180800.

The previous prime is 590147039. The next prime is 590147057. The reversal of 590147040 is 40741095.

It is a happy number.

590147040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 590146989 and 590147007.

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, 5842990 + ... + 5843090.

It is an arithmetic number, because the mean of its divisors is an integer number (5860512).

Almost surely, 2^590147040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 590147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125218304).

590147040 is an abundant number, since it is smaller than the sum of its proper divisors (1660289568).

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

590147040 is a wasteful number, since it uses less digits than its factorization.

590147040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 590147040 is about 24292.9421849228. The cubic root of 590147040 is about 838.7903222805.

The spelling of 590147040 in words is "five hundred ninety million, one hundred forty-seven thousand, forty".