45969352 has 72 divisors (see below), whose sum is σ = 102953970. Its totient is φ = 19219200.

The previous prime is 45969349. The next prime is 45969353. The reversal of 45969352 is 25396954.

It can be written as a sum of positive squares in 3 ways, for example, as 27185796 + 18783556 = 5214^2 + 4334^2 .

It is a super-2 number, since 2×45969352² = 4226362646599808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45969299 and 45969308.

It is not an unprimeable number, because it can be changed into a prime (45969353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163452 + ... + 163732.

Almost surely, 2^45969352 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 45969352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51476985).

45969352 is an abundant number, since it is smaller than the sum of its proper divisors (56984618).

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

45969352 is a wasteful number, since it uses less digits than its factorization.

45969352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The square root of 45969352 is about 6780.0702061262. The cubic root of 45969352 is about 358.2251946028.

The spelling of 45969352 in words is "forty-five million, nine hundred sixty-nine thousand, three hundred fifty-two".