46681440 has 96 divisors (see below), whose sum is σ = 158378976. Its totient is φ = 11489280.

The previous prime is 46681417. The next prime is 46681447. The reversal of 46681440 is 4418664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46681447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 9980.

It is an arithmetic number, because the mean of its divisors is an integer number (1649781).

Almost surely, 2^46681440 is an apocalyptic number.

46681440 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 46681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79189488).

46681440 is an abundant number, since it is smaller than the sum of its proper divisors (111697536).

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

46681440 is a wasteful number, since it uses less digits than its factorization.

46681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46681440 is about 6832.3817223571. The cubic root of 46681440 is about 360.0654202097.

The spelling of 46681440 in words is "forty-six million, six hundred eighty-one thousand, four hundred forty".