45967200 has 144 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 12075520.

The previous prime is 45967193. The next prime is 45967217. The reversal of 45967200 is 276954.

It is a super-2 number, since 2×45967200² = 4225966951680000, which contains 22 as substring.

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, 256711 + ... + 256889.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^45967200 is an apocalyptic number.

45967200 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 45967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

45967200 is an abundant number, since it is smaller than the sum of its proper divisors (105898080).

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

45967200 is a wasteful number, since it uses less digits than its factorization.

45967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

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

The square root of 45967200 is about 6779.9115038472. The cubic root of 45967200 is about 358.2196045549.

The spelling of 45967200 in words is "forty-five million, nine hundred sixty-seven thousand, two hundred".