46005840 has 240 divisors, whose sum is σ = 170078400. Its totient is φ = 11425536.

The previous prime is 46005793. The next prime is 46005847. The reversal of 46005840 is 4850064.

46005840 is a `hidden beast` number, since 4 + 600 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46005847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779731 + ... + 779789.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 2^46005840 is an apocalyptic number.

46005840 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 46005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85039200).

46005840 is an abundant number, since it is smaller than the sum of its proper divisors (124072560).

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

46005840 is a wasteful number, since it uses less digits than its factorization.

46005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 46005840 is about 6782.7604999734. The cubic root of 46005840 is about 358.3199495031.

It can be divided in two parts, 4600 and 5840, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 46005840 in words is "forty-six million, five thousand, eight hundred forty".