45983280 has 160 divisors (see below), whose sum is σ = 165132288. Its totient is φ = 10368000.

The previous prime is 45983251. The next prime is 45983291. The reversal of 45983280 is 8238954.

It is a happy number.

45983280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45983280² = 4228924079116800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 169545 + ... + 169815.

Almost surely, 2^45983280 is an apocalyptic number.

45983280 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 45983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82566144).

45983280 is an abundant number, since it is smaller than the sum of its proper divisors (119149008).

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

45983280 is a wasteful number, since it uses less digits than its factorization.

45983280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 45983280 is about 6781.0972563443. The cubic root of 45983280 is about 358.2613698405.

The spelling of 45983280 in words is "forty-five million, nine hundred eighty-three thousand, two hundred eighty".