1545978240 has 192 divisors, whose sum is σ = 5395440960. Its totient is φ = 407863296.

The previous prime is 1545978233. The next prime is 1545978271. The reversal of 1545978240 is 428795451.

1545978240 is a `hidden beast` number, since 1 + 54 + 597 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557337 + ... + 560103.

It is an arithmetic number, because the mean of its divisors is an integer number (28101255).

Almost surely, 2^1545978240 is an apocalyptic number.

1545978240 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 1545978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697720480).

1545978240 is an abundant number, since it is smaller than the sum of its proper divisors (3849462720).

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

1545978240 is a wasteful number, since it uses less digits than its factorization.

1545978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1545978240 is about 39318.9297921497. The cubic root of 1545978240 is about 1156.2927224925.

The spelling of 1545978240 in words is "one billion, five hundred forty-five million, nine hundred seventy-eight thousand, two hundred forty".