45854100 has 252 divisors, whose sum is σ = 162231804. Its totient is φ = 11197440.

The previous prime is 45854099. The next prime is 45854119. The reversal of 45854100 is 145854.

It can be written as a sum of positive squares in 6 ways, for example, as 2452356 + 43401744 = 1566^2 + 6588^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1239282 + ... + 1239318.

It is an arithmetic number, because the mean of its divisors is an integer number (643777).

Almost surely, 2^45854100 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 45854100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81115902).

45854100 is an abundant number, since it is smaller than the sum of its proper divisors (116377704).

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

45854100 is a wasteful number, since it uses less digits than its factorization.

45854100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45854100 is about 6771.5655501516. The cubic root of 45854100 is about 357.9255694541.

Adding to 45854100 its reverse (145854), we get a palindrome (45999954).

It can be divided in two parts, 45854 and 100, that added together give a palindrome (45954).

The spelling of 45854100 in words is "forty-five million, eight hundred fifty-four thousand, one hundred".