45436600 has 96 divisors (see below), whose sum is σ = 121420800. Its totient is φ = 15638400.

The previous prime is 45436583. The next prime is 45436609. The reversal of 45436600 is 663454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45436609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41257 + ... + 42343.

It is an arithmetic number, because the mean of its divisors is an integer number (1264800).

Almost surely, 2^45436600 is an apocalyptic number.

45436600 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 45436600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

45436600 is an abundant number, since it is smaller than the sum of its proper divisors (75984200).

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

45436600 is a wasteful number, since it uses less digits than its factorization.

45436600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 45436600 is about 6740.6676227211. The cubic root of 45436600 is about 356.8359557765.

It can be divided in two parts, 45 and 436600, that added together give a triangular number (436645 = T₉₃₄).

The spelling of 45436600 in words is "forty-five million, four hundred thirty-six thousand, six hundred".