46213200 has 240 divisors, whose sum is σ = 179899200. Its totient is φ = 11174400.

The previous prime is 46213199. The next prime is 46213207. The reversal of 46213200 is 231264.

It is a happy number.

46213200 is a `hidden beast` number, since 462 + 1 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46213207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118606 + ... + 118994.

It is an arithmetic number, because the mean of its divisors is an integer number (749580).

Almost surely, 2^46213200 is an apocalyptic number.

46213200 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 46213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89949600).

46213200 is an abundant number, since it is smaller than the sum of its proper divisors (133686000).

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

46213200 is a wasteful number, since it uses less digits than its factorization.

46213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46213200 is about 6798.0291261512. The cubic root of 46213200 is about 358.8574890266.

Adding to 46213200 its reverse (231264), we get a palindrome (46444464).

The spelling of 46213200 in words is "forty-six million, two hundred thirteen thousand, two hundred".