46147200 has 384 divisors, whose sum is σ = 182131200. Its totient is φ = 10137600.

The previous prime is 46147159. The next prime is 46147201. The reversal of 46147200 is 274164.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (46147201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006389 + ... + 2006411.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^46147200 is an apocalyptic number.

46147200 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 46147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

46147200 is an abundant number, since it is smaller than the sum of its proper divisors (135984000).

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

46147200 is a wasteful number, since it uses less digits than its factorization.

46147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 46147200 is about 6793.1730435784. The cubic root of 46147200 is about 358.6865719265.

The spelling of 46147200 in words is "forty-six million, one hundred forty-seven thousand, two hundred".