45040800 has 216 divisors, whose sum is σ = 170989056. Its totient is φ = 10268160.

The previous prime is 45040771. The next prime is 45040829. The reversal of 45040800 is 804054.

It is an interprime number because it is at equal distance from previous prime (45040771) and next prime (45040829).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 35 ways as a sum of consecutive naturals, for example, 117409 + ... + 117791.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^45040800 is an apocalyptic number.

45040800 is a gapful number since it is divisible by the number (40) 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 45040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

45040800 is an abundant number, since it is smaller than the sum of its proper divisors (125948256).

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

45040800 is a wasteful number, since it uses less digits than its factorization.

45040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45040800 is about 6711.2442959559. The cubic root of 45040800 is about 355.7967951972.

Adding to 45040800 its reverse (804054), we get a palindrome (45844854).

The spelling of 45040800 in words is "forty-five million, forty thousand, eight hundred".