1504610406 has 48 divisors (see below), whose sum is σ = 3522145536. Its totient is φ = 461455488.

The previous prime is 1504610383. The next prime is 1504610411. The reversal of 1504610406 is 6040164051.

1504610406 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 610 + 40 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1504610406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62971 + ... + 83513.

It is an arithmetic number, because the mean of its divisors is an integer number (73378032).

Almost surely, 2^1504610406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1504610406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761072768).

1504610406 is an abundant number, since it is smaller than the sum of its proper divisors (2017535130).

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

1504610406 is a wasteful number, since it uses less digits than its factorization.

1504610406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20877 (or 20874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1504610406 is about 38789.3078824565. The cubic root of 1504610406 is about 1145.8858424521.

Adding to 1504610406 its reverse (6040164051), we get a palindrome (7544774457).

It can be divided in two parts, 15046 and 10406, that added together give a palindrome (25452).

The spelling of 1504610406 in words is "one billion, five hundred four million, six hundred ten thousand, four hundred six".