590460480 has 168 divisors, whose sum is σ = 2064846264. Its totient is φ = 154828800.

The previous prime is 590460469. The next prime is 590460487. The reversal of 590460480 is 84064095.

590460480 is a `hidden beast` number, since 590 + 4 + 60 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 577152576 = 3648^2 + 24024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (590460487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174000 + ... + 177360.

Almost surely, 2^590460480 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 590460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032423132).

590460480 is an abundant number, since it is smaller than the sum of its proper divisors (1474385784).

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

590460480 is a wasteful number, since it uses less digits than its factorization.

590460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3432 counting only the distinct ones).

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

The square root of 590460480 is about 24299.3925850010. The cubic root of 590460480 is about 838.9387959594.

The spelling of 590460480 in words is "five hundred ninety million, four hundred sixty thousand, four hundred eighty".