1503968256 has 352 divisors, whose sum is σ = 5371328000. Its totient is φ = 406093824.

The previous prime is 1503968251. The next prime is 1503968261. The reversal of 1503968256 is 6528693051.

1503968256 is a `hidden beast` number, since 1 + 5 + 0 + 396 + 8 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (1503968251) and next prime (1503968261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1503968251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3676980 + ... + 3677388.

Almost surely, 2^1503968256 is an apocalyptic number.

1503968256 is a gapful number since it is divisible by the number (16) 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 1503968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685664000).

1503968256 is an abundant number, since it is smaller than the sum of its proper divisors (3867359744).

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

1503968256 is a wasteful number, since it uses less digits than its factorization.

1503968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1503968256 is about 38781.0295892206. The cubic root of 1503968256 is about 1145.7228023950.

The spelling of 1503968256 in words is "one billion, five hundred three million, nine hundred sixty-eight thousand, two hundred fifty-six".