461448064 has 64 divisors (see below), whose sum is σ = 1146153600. Its totient is φ = 179781120.

The previous prime is 461448061. The next prime is 461448089. The reversal of 461448064 is 460844164.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461448061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13554 + ... + 33265.

It is an arithmetic number, because the mean of its divisors is an integer number (17908650).

Almost surely, 2^461448064 is an apocalyptic number.

461448064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461448064 is an abundant number, since it is smaller than the sum of its proper divisors (684705536).

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

461448064 is a wasteful number, since it uses less digits than its factorization.

461448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46851 (or 46839 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 461448064 is about 21481.3422299446. The cubic root of 461448064 is about 772.7534323466.

The spelling of 461448064 in words is "four hundred sixty-one million, four hundred forty-eight thousand, sixty-four".