461464704 has 192 divisors, whose sum is σ = 1447992000. Its totient is φ = 140507136.

The previous prime is 461464697. The next prime is 461464727. The reversal of 461464704 is 407464164.

461464704 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634389 + ... + 635115.

It is an arithmetic number, because the mean of its divisors is an integer number (7541625).

Almost surely, 2^461464704 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 461464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723996000).

461464704 is an abundant number, since it is smaller than the sum of its proper divisors (986527296).

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

461464704 is a wasteful number, since it uses less digits than its factorization.

461464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 461464704 is about 21481.7295393085. The cubic root of 461464704 is about 772.7627208333.

The spelling of 461464704 in words is "four hundred sixty-one million, four hundred sixty-four thousand, seven hundred four".