46095840 has 288 divisors, whose sum is σ = 191056320. Its totient is φ = 9879552.

The previous prime is 46095839. The next prime is 46095883. The reversal of 46095840 is 4859064.

46095840 is a `hidden beast` number, since 4 + 609 + 5 + 8 + 40 = 666.

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 = 46095795 and 46095804.

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, 171226 + ... + 171494.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^46095840 is an apocalyptic number.

46095840 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 46095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

46095840 is an abundant number, since it is smaller than the sum of its proper divisors (144960480).

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

46095840 is a wasteful number, since it uses less digits than its factorization.

46095840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 46095840 is about 6789.3917253315. The cubic root of 46095840 is about 358.5534545620.

The spelling of 46095840 in words is "forty-six million, ninety-five thousand, eight hundred forty".