45753312 has 96 divisors (see below), whose sum is σ = 134676864. Its totient is φ = 13478400.

The previous prime is 45753289. The next prime is 45753313. The reversal of 45753312 is 21335754.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 45753312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45753313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38487 + ... + 39657.

It is an arithmetic number, because the mean of its divisors is an integer number (1402884).

Almost surely, 2^45753312 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 45753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67338432).

45753312 is an abundant number, since it is smaller than the sum of its proper divisors (88923552).

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

45753312 is a wasteful number, since it uses less digits than its factorization.

45753312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 45753312 is about 6764.1194548884. The cubic root of 45753312 is about 357.6631351574.

It can be divided in two parts, 4575 and 3312, that added together give a palindrome (7887).

The spelling of 45753312 in words is "forty-five million, seven hundred fifty-three thousand, three hundred twelve".