1504668312 has 160 divisors (see below), whose sum is σ = 4889406720. Its totient is φ = 423403200.

The previous prime is 1504668301. The next prime is 1504668313. The reversal of 1504668312 is 2138664051.

It is a happy number.

1504668312 is a `hidden beast` number, since 1 + 504 + 66 + 83 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1504668313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301437 + ... + 306387.

It is an arithmetic number, because the mean of its divisors is an integer number (30558792).

Almost surely, 2^1504668312 is an apocalyptic number.

1504668312 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 1504668312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444703360).

1504668312 is an abundant number, since it is smaller than the sum of its proper divisors (3384738408).

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

1504668312 is a wasteful number, since it uses less digits than its factorization.

1504668312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1504668312 is about 38790.0542923054. The cubic root of 1504668312 is about 1145.9005423404.

The spelling of 1504668312 in words is "one billion, five hundred four million, six hundred sixty-eight thousand, three hundred twelve".