45011700 has 90 divisors (see below), whose sum is σ = 145936406. Its totient is φ = 12000960.

The previous prime is 45011663. The next prime is 45011719. The reversal of 45011700 is 711054.

It can be written as a sum of positive squares in 3 ways, for example, as 11209104 + 33802596 = 3348^2 + 5814^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5322 + ... + 10878.

Almost surely, 2^45011700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45011700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72968203).

45011700 is an abundant number, since it is smaller than the sum of its proper divisors (100924706).

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

45011700 is a wasteful number, since it uses less digits than its factorization.

45011700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 45011700 is about 6709.0759423336. The cubic root of 45011700 is about 355.7201541864.

Adding to 45011700 its reverse (711054), we get a palindrome (45722754).

The spelling of 45011700 in words is "forty-five million, eleven thousand, seven hundred".