45286176 has 96 divisors (see below), whose sum is σ = 129463488. Its totient is φ = 13777920.

The previous prime is 45286159. The next prime is 45286193. The reversal of 45286176 is 67168254.

It is an interprime number because it is at equal distance from previous prime (45286159) and next prime (45286193).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163350 + ... + 163626.

It is an arithmetic number, because the mean of its divisors is an integer number (1348578).

Almost surely, 2^45286176 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 45286176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64731744).

45286176 is an abundant number, since it is smaller than the sum of its proper divisors (84177312).

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

45286176 is a wasteful number, since it uses less digits than its factorization.

45286176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 45286176 is about 6729.5004272234. The cubic root of 45286176 is about 356.4417358770.

The spelling of 45286176 in words is "forty-five million, two hundred eighty-six thousand, one hundred seventy-six".