460040 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 149760.

The previous prime is 460039. The next prime is 460051. The reversal of 460040 is 40064.

460040 = T₃₅ + T₃₆ + ... + T₁₄₀.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 459997 and 460024.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 460040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8654 + ... + 8706.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴⁶⁰⁰⁴⁰ is an apocalyptic number.

460040 is a gapful number since it is divisible by the number (40) 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 460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

460040 is an abundant number, since it is smaller than the sum of its proper divisors (784120).

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

460040 is a wasteful number, since it uses less digits than its factorization.

460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 460040 is about 678.2624860627. The cubic root of 460040 is about 77.1966637484.

The spelling of 460040 in words is "four hundred sixty thousand, forty".