45179200 has 168 divisors, whose sum is σ = 129259584. Its totient is φ = 15360000.

The previous prime is 45179179. The next prime is 45179201. The reversal of 45179200 is 297154.

45179200 = T₃₈₉ + T₃₉₀ + ... + T₆₉₀.

It is a happy number.

It is a super-2 number, since 2×45179200² = 4082320225280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45179201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299125 + ... + 299275.

Almost surely, 2^45179200 is an apocalyptic number.

45179200 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 45179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64629792).

45179200 is an abundant number, since it is smaller than the sum of its proper divisors (84080384).

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

45179200 is a wasteful number, since it uses less digits than its factorization.

45179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 45179200 is about 6721.5474408800. The cubic root of 45179200 is about 356.1608497555.

The spelling of 45179200 in words is "forty-five million, one hundred seventy-nine thousand, two hundred".