45889920 has 192 divisors, whose sum is σ = 164211840. Its totient is φ = 11796480.

The previous prime is 45889903. The next prime is 45889937. The reversal of 45889920 is 2998854.

45889920 = 288² + 289² + ... + 544².

It is an interprime number because it is at equal distance from previous prime (45889903) and next prime (45889937).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 178432 + ... + 178688.

It is an arithmetic number, because the mean of its divisors is an integer number (855270).

Almost surely, 2^45889920 is an apocalyptic number.

45889920 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 45889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82105920).

45889920 is an abundant number, since it is smaller than the sum of its proper divisors (118321920).

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

45889920 is a wasteful number, since it uses less digits than its factorization.

45889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 45889920 is about 6774.2099170309. The cubic root of 45889920 is about 358.0187458324.

The spelling of 45889920 in words is "forty-five million, eight hundred eighty-nine thousand, nine hundred twenty".