1533422880 has 576 divisors, whose sum is σ = 6220851840. Its totient is φ = 349747200.

The previous prime is 1533422861. The next prime is 1533422923. The reversal of 1533422880 is 882243351.

1533422880 is a `hidden beast` number, since 1 + 533 + 42 + 2 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25138050 + ... + 25138110.

It is an arithmetic number, because the mean of its divisors is an integer number (10800090).

Almost surely, 2^1533422880 is an apocalyptic number.

1533422880 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 1533422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110425920).

1533422880 is an abundant number, since it is smaller than the sum of its proper divisors (4687428960).

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

1533422880 is a wasteful number, since it uses less digits than its factorization.

1533422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1533422880 is about 39158.9438059813. The cubic root of 1533422880 is about 1153.1540085240.

The spelling of 1533422880 in words is "one billion, five hundred thirty-three million, four hundred twenty-two thousand, eight hundred eighty".