1505406 has 32 divisors (see below), whose sum is σ = 3495168. Its totient is φ = 423360.

The previous prime is 1505381. The next prime is 1505407. The reversal of 1505406 is 6045051.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821 + ... + 3311.

It is an arithmetic number, because the mean of its divisors is an integer number (109224).

2^1505406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747584).

1505406 is an abundant number, since it is smaller than the sum of its proper divisors (1989762).

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

1505406 is a wasteful number, since it uses less digits than its factorization.

1505406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1505406 is about 1226.9498767268. The cubic root of 1505406 is about 114.6087777176.

The spelling of 1505406 in words is "one million, five hundred five thousand, four hundred six".