45968384 has 132 divisors (see below), whose sum is σ = 117612432. Its totient is φ = 17571840.

The previous prime is 45968383. The next prime is 45968401. The reversal of 45968384 is 48386954.

It is a super-2 number, since 2×45968384² = 4226184655142912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45968383) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 867302 + ... + 867354.

Almost surely, 2^45968384 is an apocalyptic number.

45968384 is a gapful number since it is divisible by the number (44) 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 45968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

45968384 is an abundant number, since it is smaller than the sum of its proper divisors (71644048).

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

45968384 is a wasteful number, since it uses less digits than its factorization.

45968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 45968384 is about 6779.9988200589. The cubic root of 45968384 is about 358.2226801419. Note that the first 3 decimals are identical.

The spelling of 45968384 in words is "forty-five million, nine hundred sixty-eight thousand, three hundred eighty-four".