461906064 has 105 divisors (see below), whose sum is σ = 1348577283. Its totient is φ = 153194976.

The previous prime is 461906059. The next prime is 461906069. The reversal of 461906064 is 460609164.

The square root of 461906064 is 21492.

It is a perfect power (a square), and thus also a powerful number.

461906064 is a `hidden beast` number, since 46 + 1 + 9 + 0 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (461906059) and next prime (461906069).

It is a super-3 number, since 3×461906064³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (461906069) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2321037 + ... + 2321235.

Almost surely, 2^461906064 is an apocalyptic number.

461906064 is the 21492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461906064

461906064 is an abundant number, since it is smaller than the sum of its proper divisors (886671219).

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

461906064 is an frugal number, since it uses more digits than its factorization.

461906064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 461906064 is about 773.0090075471.

Multiplying 461906064 by its sum of digits (36), we get a square (16628618304 = 128952²).

461906064 divided by its sum of digits (36) gives a square (12830724 = 3582²).

The spelling of 461906064 in words is "four hundred sixty-one million, nine hundred six thousand, sixty-four".