45100400 has 60 divisors (see below), whose sum is σ = 109277232. Its totient is φ = 17886720.

The previous prime is 45100399. The next prime is 45100409. The reversal of 45100400 is 400154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54389 + ... + 55211.

Almost surely, 2^45100400 is an apocalyptic number.

45100400 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 45100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54638616).

45100400 is an abundant number, since it is smaller than the sum of its proper divisors (64176832).

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

45100400 is a wasteful number, since it uses less digits than its factorization.

45100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 45100400 is about 6715.6831372542. The cubic root of 45100400 is about 355.9536614349.

Adding to 45100400 its reverse (400154), we get a palindrome (45500554).

The spelling of 45100400 in words is "forty-five million, one hundred thousand, four hundred".