467420064 has 96 divisors (see below), whose sum is σ = 1313040960. Its totient is φ = 145152000.

The previous prime is 467420039. The next prime is 467420081. The reversal of 467420064 is 460024764.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109164 + ... + 113364.

It is an arithmetic number, because the mean of its divisors is an integer number (13677510).

Almost surely, 2^467420064 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 467420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656520480).

467420064 is an abundant number, since it is smaller than the sum of its proper divisors (845620896).

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

467420064 is a wasteful number, since it uses less digits than its factorization.

467420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 467420064 is about 21619.8997222466. The cubic root of 467420064 is about 776.0727780964.

The spelling of 467420064 in words is "four hundred sixty-seven million, four hundred twenty thousand, sixty-four".