1505872368 has 480 divisors, whose sum is σ = 5858291712. Its totient is φ = 348364800.

The previous prime is 1505872367. The next prime is 1505872391. The reversal of 1505872368 is 8632785051.

1505872368 is a `hidden beast` number, since 1 + 5 + 0 + 587 + 2 + 3 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505872367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4468296 + ... + 4468632.

Almost surely, 2^1505872368 is an apocalyptic number.

1505872368 is a gapful number since it is divisible by the number (18) 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 1505872368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929145856).

1505872368 is an abundant number, since it is smaller than the sum of its proper divisors (4352419344).

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

1505872368 is a wasteful number, since it uses less digits than its factorization.

1505872368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1505872368 is about 38805.5713525777. The cubic root of 1505872368 is about 1146.2061159010.

The spelling of 1505872368 in words is "one billion, five hundred five million, eight hundred seventy-two thousand, three hundred sixty-eight".