46661440 has 112 divisors (see below), whose sum is σ = 130649472. Its totient is φ = 15538176.

The previous prime is 46661431. The next prime is 46661453. The reversal of 46661440 is 4416664.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82599 + ... + 83161.

Almost surely, 2^46661440 is an apocalyptic number.

46661440 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 46661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65324736).

46661440 is an abundant number, since it is smaller than the sum of its proper divisors (83988032).

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

46661440 is a wasteful number, since it uses less digits than its factorization.

46661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 46661440 is about 6830.9179470991. The cubic root of 46661440 is about 360.0139912258.

The spelling of 46661440 in words is "forty-six million, six hundred sixty-one thousand, four hundred forty".