464016 has 40 divisors (see below), whose sum is σ = 1370944. Its totient is φ = 132480.

The previous prime is 464011. The next prime is 464021. The reversal of 464016 is 610464.

It is an interprime number because it is at equal distance from previous prime (464011) and next prime (464021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 463983 and 464001.

It is not an unprimeable number, because it can be changed into a prime (464011) by changing a digit.

464016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355 + ... + 1026.

2⁴⁶⁴⁰¹⁶ is an apocalyptic number.

It is an amenable number.

464016 is an abundant number, since it is smaller than the sum of its proper divisors (906928).

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

464016 is a wasteful number, since it uses less digits than its factorization.

464016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 464016 is about 681.1871989402. The cubic root of 464016 is about 77.4184226590.

It can be divided in two parts, 4640 and 16, that added together give a triangular number (4656 = T₉₆).

The spelling of 464016 in words is "four hundred sixty-four thousand, sixteen".