590412240 has 360 divisors, whose sum is σ = 2269167264. Its totient is φ = 142560000.

The previous prime is 590412239. The next prime is 590412257. The reversal of 590412240 is 42214095.

590412240 is a `hidden beast` number, since 5 + 9 + 0 + 412 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×590412240² = 697173226283635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2352115 + ... + 2352365.

Almost surely, 2^590412240 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 590412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134583632).

590412240 is an abundant number, since it is smaller than the sum of its proper divisors (1678755024).

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

590412240 is a wasteful number, since it uses less digits than its factorization.

590412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 590412240 is about 24298.3999473216. The cubic root of 590412240 is about 838.9159485316.

The spelling of 590412240 in words is "five hundred ninety million, four hundred twelve thousand, two hundred forty".