45983800 has 48 divisors (see below), whose sum is σ = 112548600. Its totient is φ = 17424000.

The previous prime is 45983783. The next prime is 45983803. The reversal of 45983800 is 838954.

45983800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45983800² = 4229019724880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45983800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45983803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2251 + ... + 9850.

Almost surely, 2^45983800 is an apocalyptic number.

45983800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45983800 is an abundant number, since it is smaller than the sum of its proper divisors (66564800).

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

45983800 is a wasteful number, since it uses less digits than its factorization.

45983800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136 (or 12127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45983800 is about 6781.1355981133. The cubic root of 45983800 is about 358.2627202966.

It can be divided in two parts, 4598 and 3800, that multiplied together give a square (17472400 = 4180²).

The spelling of 45983800 in words is "forty-five million, nine hundred eighty-three thousand, eight hundred".