46827200 has 168 divisors, whose sum is σ = 136440672. Its totient is φ = 15482880.

The previous prime is 46827173. The next prime is 46827203. The reversal of 46827200 is 272864.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46827203) 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, 414344 + ... + 414456.

Almost surely, 2^46827200 is an apocalyptic number.

46827200 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 46827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68220336).

46827200 is an abundant number, since it is smaller than the sum of its proper divisors (89613472).

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

46827200 is a wasteful number, since it uses less digits than its factorization.

46827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 46827200 is about 6843.0402600014. The cubic root of 46827200 is about 360.4397917305.

The spelling of 46827200 in words is "forty-six million, eight hundred twenty-seven thousand, two hundred".