1530180456 has 128 divisors (see below), whose sum is σ = 4501094400. Its totient is φ = 424408320.

The previous prime is 1530180433. The next prime is 1530180461. The reversal of 1530180456 is 6540810351.

1530180456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1530180456³ (a number of 29 digits) contains 333 as substring.

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, 1379230 + ... + 1380338.

It is an arithmetic number, because the mean of its divisors is an integer number (35164800).

Almost surely, 2^1530180456 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 1530180456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250547200).

1530180456 is an abundant number, since it is smaller than the sum of its proper divisors (2970913944).

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

1530180456 is a wasteful number, since it uses less digits than its factorization.

1530180456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1530180456 is about 39117.5210871037. The cubic root of 1530180456 is about 1152.3406532596.

The spelling of 1530180456 in words is "one billion, five hundred thirty million, one hundred eighty thousand, four hundred fifty-six".