45364500 has 144 divisors (see below), whose sum is σ = 151783632. Its totient is φ = 11366400.

The previous prime is 45364499. The next prime is 45364513. The reversal of 45364500 is 546354.

It can be written as a sum of positive squares in 8 ways, for example, as 6874884 + 38489616 = 2622^2 + 6204^2 .

It is a super-3 number, since 3×45364500³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 76204 + ... + 76796.

It is an arithmetic number, because the mean of its divisors is an integer number (1054053).

Almost surely, 2^45364500 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 45364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75891816).

45364500 is an abundant number, since it is smaller than the sum of its proper divisors (106419132).

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

45364500 is a wasteful number, since it uses less digits than its factorization.

45364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

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

The square root of 45364500 is about 6735.3173644603. The cubic root of 45364500 is about 356.6471102718.

It can be divided in two parts, 45 and 364500, that multiplied together give a square (16402500 = 4050²).

The spelling of 45364500 in words is "forty-five million, three hundred sixty-four thousand, five hundred".