46001200 has 90 divisors (see below), whose sum is σ = 128616396. Its totient is φ = 15765120.

The previous prime is 46001159. The next prime is 46001209. The reversal of 46001200 is 210064.

It is a super-2 number, since 2×46001200² = 4232220802880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46001209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18427 + ... + 20773.

Almost surely, 2^46001200 is an apocalyptic number.

46001200 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 46001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64308198).

46001200 is an abundant number, since it is smaller than the sum of its proper divisors (82615196).

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

46001200 is a wasteful number, since it uses less digits than its factorization.

46001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 46001200 is about 6782.4184477220. The cubic root of 46001200 is about 358.3079027683.

Adding to 46001200 its reverse (210064), we get a palindrome (46211264).

The spelling of 46001200 in words is "forty-six million, one thousand, two hundred".