464021712 has 120 divisors (see below), whose sum is σ = 1619092800. Its totient is φ = 120522240.

The previous prime is 464021689. The next prime is 464021759. The reversal of 464021712 is 217120464.

464021712 is a `hidden beast` number, since 4 + 640 + 2 + 1 + 7 + 12 = 666.

It is a super-2 number, since 2×464021712² = 430632298414821888, which contains 22 as substring.

It is a congruent number.

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, 9837 + ... + 32012.

It is an arithmetic number, because the mean of its divisors is an integer number (13492440).

Almost surely, 2^464021712 is an apocalyptic number.

464021712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

464021712 is an abundant number, since it is smaller than the sum of its proper divisors (1155071088).

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

464021712 is a wasteful number, since it uses less digits than its factorization.

464021712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41881 (or 41872 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 464021712 is about 21541.1631997903. The cubic root of 464021712 is about 774.1874032926.

The spelling of 464021712 in words is "four hundred sixty-four million, twenty-one thousand, seven hundred twelve".