1503640314 has 128 divisors (see below), whose sum is σ = 3864672000. Its totient is φ = 429004800.

The previous prime is 1503640289. The next prime is 1503640321. The reversal of 1503640314 is 4130463051.

1503640314 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 640 + 3 + 14 = 666.

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

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, 705202 + ... + 707330.

It is an arithmetic number, because the mean of its divisors is an integer number (30192750).

Almost surely, 2^1503640314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1503640314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932336000).

1503640314 is an abundant number, since it is smaller than the sum of its proper divisors (2361031686).

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

1503640314 is a wasteful number, since it uses less digits than its factorization.

1503640314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1503640314 is about 38776.8012347589. The cubic root of 1503640314 is about 1145.6395209519.

It can be divided in two parts, 150 and 3640314, that added together give a square (3640464 = 1908²).

The spelling of 1503640314 in words is "one billion, five hundred three million, six hundred forty thousand, three hundred fourteen".