1503934740 has 288 divisors, whose sum is σ = 5988003840. Its totient is φ = 296006400.

The previous prime is 1503934723. The next prime is 1503934763. The reversal of 1503934740 is 474393051.

1503934740 is a `hidden beast` number, since 150 + 39 + 3 + 474 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1503934695 and 1503934704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260485 + ... + 266195.

It is an arithmetic number, because the mean of its divisors is an integer number (20791680).

Almost surely, 2^1503934740 is an apocalyptic number.

1503934740 is a gapful number since it is divisible by the number (10) 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 1503934740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994001920).

1503934740 is an abundant number, since it is smaller than the sum of its proper divisors (4484069100).

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

1503934740 is a wasteful number, since it uses less digits than its factorization.

1503934740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1503934740 is about 38780.5974683217. The cubic root of 1503934740 is about 1145.7142915038.

The spelling of 1503934740 in words is "one billion, five hundred three million, nine hundred thirty-four thousand, seven hundred forty".