450589464 has 192 divisors, whose sum is σ = 1386927360. Its totient is φ = 131189760.

The previous prime is 450589457. The next prime is 450589537. The reversal of 450589464 is 464985054.

450589464 is a `hidden beast` number, since 4 + 5 + 0 + 589 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537702 + ... + 1537994.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2^450589464 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 450589464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

450589464 is an abundant number, since it is smaller than the sum of its proper divisors (936337896).

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

450589464 is a wasteful number, since it uses less digits than its factorization.

450589464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 450589464 is about 21227.0926883547. The cubic root of 450589464 is about 766.6438877500.

The spelling of 450589464 in words is "four hundred fifty million, five hundred eighty-nine thousand, four hundred sixty-four".