45933120 has 168 divisors, whose sum is σ = 162260280. Its totient is φ = 11919360.

The previous prime is 45933119. The next prime is 45933131. The reversal of 45933120 is 2133954.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 45481536 = 672^2 + 6744^2 .

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 23 ways as a sum of consecutive naturals, for example, 117886 + ... + 118274.

It is an arithmetic number, because the mean of its divisors is an integer number (965835).

Almost surely, 2^45933120 is an apocalyptic number.

45933120 is a gapful number since it is divisible by the number (40) 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 45933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81130140).

45933120 is an abundant number, since it is smaller than the sum of its proper divisors (116327160).

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

45933120 is a wasteful number, since it uses less digits than its factorization.

45933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45933120 is about 6777.3977306928. The cubic root of 45933120 is about 358.1310548760.

It can be divided in two parts, 45 and 933120, that multiplied together give a square (41990400 = 6480²).

The spelling of 45933120 in words is "forty-five million, nine hundred thirty-three thousand, one hundred twenty".