45605400 has 96 divisors (see below), whose sum is σ = 146307600. Its totient is φ = 11737600.

The previous prime is 45605393. The next prime is 45605411. The reversal of 45605400 is 450654.

45605400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16090 + ... + 18710.

Almost surely, 2^45605400 is an apocalyptic number.

45605400 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 45605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73153800).

45605400 is an abundant number, since it is smaller than the sum of its proper divisors (100702200).

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

45605400 is a wasteful number, since it uses less digits than its factorization.

45605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45605400 is about 6753.1770301096. The cubic root of 45605400 is about 357.2772994796.

The spelling of 45605400 in words is "forty-five million, six hundred five thousand, four hundred".