46121800 has 96 divisors (see below), whose sum is σ = 113921280. Its totient is φ = 17337600.

The previous prime is 46121791. The next prime is 46121821. The reversal of 46121800 is 812164.

It is a super-3 number, since 3×46121800³ (a number of 24 digits) contains 333 as substring.

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, 266514 + ... + 266686.

It is an arithmetic number, because the mean of its divisors is an integer number (1186680).

Almost surely, 2^46121800 is an apocalyptic number.

46121800 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 46121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960640).

46121800 is an abundant number, since it is smaller than the sum of its proper divisors (67799480).

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

46121800 is a wasteful number, since it uses less digits than its factorization.

46121800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 46121800 is about 6791.3032622612. The cubic root of 46121800 is about 358.6207513135.

Adding to 46121800 its reverse (812164), we get a palindrome (46933964).

The spelling of 46121800 in words is "forty-six million, one hundred twenty-one thousand, eight hundred".