1504612032 has 448 divisors, whose sum is σ = 5305958400. Its totient is φ = 372556800.

The previous prime is 1504612027. The next prime is 1504612073. The reversal of 1504612032 is 2302164051.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1504611993 and 1504612011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22456863 + ... + 22456929.

Almost surely, 2^1504612032 is an apocalyptic number.

1504612032 is a gapful number since it is divisible by the number (12) 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 1504612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652979200).

1504612032 is an abundant number, since it is smaller than the sum of its proper divisors (3801346368).

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

1504612032 is a wasteful number, since it uses less digits than its factorization.

1504612032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1504612032 is about 38789.3288418348. The cubic root of 1504612032 is about 1145.8862552300.

Adding to 1504612032 its reverse (2302164051), we get a palindrome (3806776083).

The spelling of 1504612032 in words is "one billion, five hundred four million, six hundred twelve thousand, thirty-two".