45701600 has 72 divisors (see below), whose sum is σ = 127523088. Its totient is φ = 15667200.

The previous prime is 45701567. The next prime is 45701603. The reversal of 45701600 is 610754.

45701600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45701603) 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, 1520 + ... + 9680.

It is an arithmetic number, because the mean of its divisors is an integer number (1771154).

Almost surely, 2^45701600 is an apocalyptic number.

45701600 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 45701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63761544).

45701600 is an abundant number, since it is smaller than the sum of its proper divisors (81821488).

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

45701600 is a wasteful number, since it uses less digits than its factorization.

45701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 45701600 is about 6760.2958515142. The cubic root of 45701600 is about 357.5283365480.

The spelling of 45701600 in words is "forty-five million, seven hundred one thousand, six hundred".