1531890048 has 256 divisors, whose sum is σ = 4770662400. Its totient is φ = 431308800.

The previous prime is 1531890001. The next prime is 1531890083. The reversal of 1531890048 is 8400981351.

It is a super-2 number, since 2×1531890048² = 4693374238322884608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1531889988 and 1531890015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940028 + ... + 2940548.

It is an arithmetic number, because the mean of its divisors is an integer number (18635400).

Almost surely, 2^1531890048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385331200).

1531890048 is an abundant number, since it is smaller than the sum of its proper divisors (3238772352).

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

1531890048 is a wasteful number, since it uses less digits than its factorization.

1531890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1531890048 is about 39139.3669851724. The cubic root of 1531890048 is about 1152.7696438703.

The spelling of 1531890048 in words is "one billion, five hundred thirty-one million, eight hundred ninety thousand, forty-eight".