46243200 has 96 divisors (see below), whose sum is σ = 152345160. Its totient is φ = 12328960.

The previous prime is 46243187. The next prime is 46243217. The reversal of 46243200 is 234264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7192 + ... + 12008.

Almost surely, 2^46243200 is an apocalyptic number.

46243200 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 46243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76172580).

46243200 is an abundant number, since it is smaller than the sum of its proper divisors (106101960).

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

46243200 is a wasteful number, since it uses less digits than its factorization.

46243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 46243200 is about 6800.2352900470. The cubic root of 46243200 is about 358.9351248242.

Adding to 46243200 its reverse (234264), we get a palindrome (46477464).

The spelling of 46243200 in words is "forty-six million, two hundred forty-three thousand, two hundred".