1545338880 has 228 divisors, whose sum is σ = 5398058952. Its totient is φ = 408944640.

The previous prime is 1545338869. The next prime is 1545338887. The reversal of 1545338880 is 888335451.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545338887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11796415 + ... + 11796545.

Almost surely, 2^1545338880 is an apocalyptic number.

1545338880 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 1545338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699029476).

1545338880 is an abundant number, since it is smaller than the sum of its proper divisors (3852720072).

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

1545338880 is an frugal number, since it uses more digits than its factorization.

1545338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1545338880 is about 39310.7985164382. The cubic root of 1545338880 is about 1156.1333004012.

The spelling of 1545338880 in words is "one billion, five hundred forty-five million, three hundred thirty-eight thousand, eight hundred eighty".