45364410 has 192 divisors, whose sum is σ = 150958080. Its totient is φ = 9192960.

The previous prime is 45364387. The next prime is 45364411. The reversal of 45364410 is 1446354.

45364410 is a `hidden beast` number, since 4 + 5 + 3 + 644 + 10 = 666.

45364410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45364411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237415 + ... + 237605.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^45364410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45364410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

45364410 is an abundant number, since it is smaller than the sum of its proper divisors (105593670).

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

45364410 is a wasteful number, since it uses less digits than its factorization.

45364410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45364410 is about 6735.3106832573. The cubic root of 45364410 is about 356.6468744173.

The spelling of 45364410 in words is "forty-five million, three hundred sixty-four thousand, four hundred ten".