46113200 has 120 divisors (see below), whose sum is σ = 129896448. Its totient is φ = 15402240.

The previous prime is 46113187. The next prime is 46113239. The reversal of 46113200 is 231164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120209 + ... + 120591.

Almost surely, 2^46113200 is an apocalyptic number.

46113200 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 46113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64948224).

46113200 is an abundant number, since it is smaller than the sum of its proper divisors (83783248).

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

46113200 is a wasteful number, since it uses less digits than its factorization.

46113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 46113200 is about 6790.6700700299. The cubic root of 46113200 is about 358.5984601181.

Adding to 46113200 its reverse (231164), we get a palindrome (46344364).

The spelling of 46113200 in words is "forty-six million, one hundred thirteen thousand, two hundred".