461798064 has 320 divisors, whose sum is σ = 1729889280. Its totient is φ = 114462720.

The previous prime is 461798023. The next prime is 461798101. The reversal of 461798064 is 460897164.

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, 667959 + ... + 668649.

It is an arithmetic number, because the mean of its divisors is an integer number (5405904).

Almost surely, 2^461798064 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 461798064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864944640).

461798064 is an abundant number, since it is smaller than the sum of its proper divisors (1268091216).

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

461798064 is a wasteful number, since it uses less digits than its factorization.

461798064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 461798064 is about 21489.4872903008. The cubic root of 461798064 is about 772.9487561332.

The spelling of 461798064 in words is "four hundred sixty-one million, seven hundred ninety-eight thousand, sixty-four".