1540484800 has 168 divisors, whose sum is σ = 4055802912. Its totient is φ = 574464000.

The previous prime is 1540484783. The next prime is 1540484807. The reversal of 1540484800 is 84840451.

It is not an unprimeable number, because it can be changed into a prime (1540484807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508290 + ... + 1509310.

It is an arithmetic number, because the mean of its divisors is an integer number (24141684).

Almost surely, 2^1540484800 is an apocalyptic number.

1540484800 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 1540484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027901456).

1540484800 is an abundant number, since it is smaller than the sum of its proper divisors (2515318112).

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

1540484800 is a wasteful number, since it uses less digits than its factorization.

1540484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 1540484800 is about 39249.0101786020. The cubic root of 1540484800 is about 1154.9215166276.

The spelling of 1540484800 in words is "one billion, five hundred forty million, four hundred eighty-four thousand, eight hundred".