45679200 has 144 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 10437120.

The previous prime is 45679177. The next prime is 45679223. The reversal of 45679200 is 297654.

It is an interprime number because it is at equal distance from previous prime (45679177) and next prime (45679223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15441 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (1180480).

Almost surely, 2^45679200 is an apocalyptic number.

45679200 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 45679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

45679200 is an abundant number, since it is smaller than the sum of its proper divisors (124309920).

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

45679200 is a wasteful number, since it uses less digits than its factorization.

45679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 45679200 is about 6758.6389162316. The cubic root of 45679200 is about 357.4699144976.

The spelling of 45679200 in words is "forty-five million, six hundred seventy-nine thousand, two hundred".