455980590 has 120 divisors (see below), whose sum is σ = 1328048568. Its totient is φ = 112207680.

The previous prime is 455980573. The next prime is 455980631. The reversal of 455980590 is 95089554.

455980590 is a `hidden beast` number, since 4 + 5 + 59 + 8 + 0 + 590 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 135225 + ... + 138555.

Almost surely, 2^455980590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455980590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664024284).

455980590 is an abundant number, since it is smaller than the sum of its proper divisors (872067978).

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

455980590 is a wasteful number, since it uses less digits than its factorization.

455980590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 455980590 is about 21353.7020209611. The cubic root of 455980590 is about 769.6893051345.

The spelling of 455980590 in words is "four hundred fifty-five million, nine hundred eighty thousand, five hundred ninety".