46246200 has 432 divisors, whose sum is σ = 197409240. Its totient is φ = 8870400.

The previous prime is 46246181. The next prime is 46246201. The reversal of 46246200 is 264264.

It is a super-2 number, since 2×46246200² = 4277422028880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46246201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3557394 + ... + 3557406.

Almost surely, 2^46246200 is an apocalyptic number.

46246200 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 46246200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98704620).

46246200 is an abundant number, since it is smaller than the sum of its proper divisors (151163040).

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

46246200 is a wasteful number, since it uses less digits than its factorization.

46246200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 46246200 is about 6800.4558670724. The cubic root of 46246200 is about 358.9428865570.

It can be divided in two parts, 462 and 46200, that multiplied together give a square (21344400 = 4620²).

The spelling of 46246200 in words is "forty-six million, two hundred forty-six thousand, two hundred".