464954112 has 216 divisors, whose sum is σ = 1550954496. Its totient is φ = 131217408.

The previous prime is 464954057. The next prime is 464954123. The reversal of 464954112 is 211459464.

464954112 is a `hidden beast` number, since 4 + 649 + 5 + 4 + 1 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048143 + ... + 2048369.

Almost surely, 2^464954112 is an apocalyptic number.

464954112 is a gapful number since it is divisible by the number (42) 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 464954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775477248).

464954112 is an abundant number, since it is smaller than the sum of its proper divisors (1086000384).

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

464954112 is a wasteful number, since it uses less digits than its factorization.

464954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 464954112 is about 21562.7946240741. The cubic root of 464954112 is about 774.7056041736.

The spelling of 464954112 in words is "four hundred sixty-four million, nine hundred fifty-four thousand, one hundred twelve".