46189440 has 288 divisors, whose sum is σ = 180680760. Its totient is φ = 11197440.

The previous prime is 46189433. The next prime is 46189441. The reversal of 46189440 is 4498164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 46189395 and 46189404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46189441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4199035 + ... + 4199045.

Almost surely, 2^46189440 is an apocalyptic number.

46189440 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 46189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90340380).

46189440 is an abundant number, since it is smaller than the sum of its proper divisors (134491320).

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

46189440 is an frugal number, since it uses more digits than its factorization.

46189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 46189440 is about 6796.2813361426. The cubic root of 46189440 is about 358.7959776285.

The spelling of 46189440 in words is "forty-six million, one hundred eighty-nine thousand, four hundred forty".