46585440 has 288 divisors, whose sum is σ = 184687776. Its totient is φ = 10567680.

The previous prime is 46585421. The next prime is 46585459. The reversal of 46585440 is 4458564.

It is an interprime number because it is at equal distance from previous prime (46585421) and next prime (46585459).

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 junction number, because it is equal to n+sod(n) for n = 46585395 and 46585404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269194 + ... + 269366.

It is an arithmetic number, because the mean of its divisors is an integer number (641277).

Almost surely, 2^46585440 is an apocalyptic number.

46585440 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 46585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92343888).

46585440 is an abundant number, since it is smaller than the sum of its proper divisors (138102336).

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

46585440 is a wasteful number, since it uses less digits than its factorization.

46585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 46585440 is about 6825.3527381374. The cubic root of 46585440 is about 359.8184269540.

It can be divided in two parts, 465 and 85440, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 46585440 in words is "forty-six million, five hundred eighty-five thousand, four hundred forty".