45635400 has 168 divisors, whose sum is σ = 159588930. Its totient is φ = 12130560.

The previous prime is 45635383. The next prime is 45635407. The reversal of 45635400 is 453654.

It can be written as a sum of positive squares in 3 ways, for example, as 18198756 + 27436644 = 4266^2 + 5238^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45635407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145644 + ... + 145956.

Almost surely, 2^45635400 is an apocalyptic number.

45635400 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 45635400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79794465).

45635400 is an abundant number, since it is smaller than the sum of its proper divisors (113953530).

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

45635400 is a wasteful number, since it uses less digits than its factorization.

45635400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45635400 is about 6755.3978417263. The cubic root of 45635400 is about 357.3556233156.

The spelling of 45635400 in words is "forty-five million, six hundred thirty-five thousand, four hundred".