464151168 has 128 divisors (see below), whose sum is σ = 1475409600. Its totient is φ = 142801920.

The previous prime is 464151167. The next prime is 464151173. The reversal of 464151168 is 861151464.

464151168 is a `hidden beast` number, since 4 + 641 + 5 + 1 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (464151167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39763 + ... + 50093.

Almost surely, 2^464151168 is an apocalyptic number.

464151168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737704800).

464151168 is an abundant number, since it is smaller than the sum of its proper divisors (1011258432).

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

464151168 is a wasteful number, since it uses less digits than its factorization.

464151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10349 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 464151168 is about 21544.1678419010. The cubic root of 464151168 is about 774.2593926579.

The spelling of 464151168 in words is "four hundred sixty-four million, one hundred fifty-one thousand, one hundred sixty-eight".