464147064 has 64 divisors (see below), whose sum is σ = 1297305600. Its totient is φ = 153754848.

The previous prime is 464147053. The next prime is 464147081. The reversal of 464147064 is 460741464.

464147064 is a `hidden beast` number, since 4 + 641 + 4 + 7 + 0 + 6 + 4 = 666.

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

It is a congruent number.

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, 28617 + ... + 41799.

It is an arithmetic number, because the mean of its divisors is an integer number (20270400).

Almost surely, 2^464147064 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 464147064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648652800).

464147064 is an abundant number, since it is smaller than the sum of its proper divisors (833158536).

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

464147064 is a wasteful number, since it uses less digits than its factorization.

464147064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13351 counting only the distinct ones).

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

The square root of 464147064 is about 21544.0725954960. The cubic root of 464147064 is about 774.2571106644.

The spelling of 464147064 in words is "four hundred sixty-four million, one hundred forty-seven thousand, sixty-four".