1505223405 has 144 divisors (see below), whose sum is σ = 3187888704. Its totient is φ = 679311360.

The previous prime is 1505223397. The next prime is 1505223409. The reversal of 1505223405 is 5043225051.

It is a happy number.

It is not a de Polignac number, because 1505223405 - 2³ = 1505223397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505223409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7798989 + ... + 7799181.

It is an arithmetic number, because the mean of its divisors is an integer number (22138116).

Almost surely, 2^1505223405 is an apocalyptic number.

1505223405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505223405 is an abundant number, since it is smaller than the sum of its proper divisors (1682665299).

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

1505223405 is a wasteful number, since it uses less digits than its factorization.

1505223405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1505223405 is about 38797.2087269175. The cubic root of 1505223405 is about 1146.0414378810.

Adding to 1505223405 its reverse (5043225051), we get a palindrome (6548448456).

The spelling of 1505223405 in words is "one billion, five hundred five million, two hundred twenty-three thousand, four hundred five".