46194400 has 144 divisors (see below), whose sum is σ = 131804064. Its totient is φ = 15482880.

The previous prime is 46194391. The next prime is 46194403. The reversal of 46194400 is 449164.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46194403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408744 + ... + 408856.

It is an arithmetic number, because the mean of its divisors is an integer number (915306).

Almost surely, 2^46194400 is an apocalyptic number.

46194400 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 46194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65902032).

46194400 is an abundant number, since it is smaller than the sum of its proper divisors (85609664).

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

46194400 is a wasteful number, since it uses less digits than its factorization.

46194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 46194400 is about 6796.6462317823. The cubic root of 46194400 is about 358.8088201336.

The spelling of 46194400 in words is "forty-six million, one hundred ninety-four thousand, four hundred".