45555840 has 192 divisors, whose sum is σ = 171849600. Its totient is φ = 11028480.

The previous prime is 45555827. The next prime is 45555859. The reversal of 45555840 is 4855554.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 45555795 and 45555804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63001 + ... + 63719.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^45555840 is an apocalyptic number.

45555840 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 45555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

45555840 is an abundant number, since it is smaller than the sum of its proper divisors (126293760).

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

45555840 is a wasteful number, since it uses less digits than its factorization.

45555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 45555840 is about 6749.5066486374. The cubic root of 45555840 is about 357.1478332259.

The spelling of 45555840 in words is "forty-five million, five hundred fifty-five thousand, eight hundred forty".