45050400 has 108 divisors (see below), whose sum is σ = 158884362. Its totient is φ = 12011520.

The previous prime is 45050381. The next prime is 45050413. The reversal of 45050400 is 405054.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43401744 + 1648656 = 6588^2 + 1284^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4072 + ... + 10328.

Almost surely, 2^45050400 is an apocalyptic number.

45050400 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 45050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79442181).

45050400 is an abundant number, since it is smaller than the sum of its proper divisors (113833962).

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

45050400 is a wasteful number, since it uses less digits than its factorization.

45050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45050400 is about 6711.9594754438. The cubic root of 45050400 is about 355.8220715880.

Adding to 45050400 its reverse (405054), we get a palindrome (45455454).

The spelling of 45050400 in words is "forty-five million, fifty thousand, four hundred".