45367224 has 128 divisors (see below), whose sum is σ = 138240000. Its totient is φ = 12127104.

The previous prime is 45367213. The next prime is 45367243. The reversal of 45367224 is 42276354.

45367224 = 375² + 376² + ... + 573².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227877 + ... + 228075.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^45367224 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 45367224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120000).

45367224 is an abundant number, since it is smaller than the sum of its proper divisors (92872776).

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

45367224 is a wasteful number, since it uses less digits than its factorization.

45367224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 45367224 is about 6735.5195790674. The cubic root of 45367224 is about 356.6542486530.

The spelling of 45367224 in words is "forty-five million, three hundred sixty-seven thousand, two hundred twenty-four".