460416 has 64 divisors (see below), whose sum is σ = 1346400. Its totient is φ = 138240.

The previous prime is 460409. The next prime is 460417. The reversal of 460416 is 614064.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 460392 and 460401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 460416.

It is not an unprimeable number, because it can be changed into a prime (460417) by changing a digit.

460416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4170 + ... + 4278.

2⁴⁶⁰⁴¹⁶ 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 460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673200).

460416 is an abundant number, since it is smaller than the sum of its proper divisors (885984).

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

460416 is a wasteful number, since it uses less digits than its factorization.

460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

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

The square root of 460416 is about 678.5396082765. The cubic root of 460416 is about 77.2176894862.

The spelling of 460416 in words is "four hundred sixty thousand, four hundred sixteen".