45979200 has 252 divisors, whose sum is σ = 170330368. Its totient is φ = 11750400.

The previous prime is 45979159. The next prime is 45979201. The reversal of 45979200 is 297954.

It is a super-2 number, since 2×45979200² = 4228173665280000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45979201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 446349 + ... + 446451.

Almost surely, 2^45979200 is an apocalyptic number.

45979200 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 45979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85165184).

45979200 is an abundant number, since it is smaller than the sum of its proper divisors (124351168).

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

45979200 is a wasteful number, since it uses less digits than its factorization.

45979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 45979200 is about 6780.7964134016. The cubic root of 45979200 is about 358.2507736004.

The spelling of 45979200 in words is "forty-five million, nine hundred seventy-nine thousand, two hundred".