46835040 has 192 divisors, whose sum is σ = 172440576. Its totient is φ = 10463232.

The previous prime is 46835023. The next prime is 46835053. The reversal of 46835040 is 4053864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 46834989 and 46835007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177949 + ... + 178211.

It is an arithmetic number, because the mean of its divisors is an integer number (898128).

Almost surely, 2^46835040 is an apocalyptic number.

46835040 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 46835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

46835040 is an abundant number, since it is smaller than the sum of its proper divisors (125605536).

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

46835040 is a wasteful number, since it uses less digits than its factorization.

46835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 46835040 is about 6843.6130808221. The cubic root of 46835040 is about 360.4599060393.

The spelling of 46835040 in words is "forty-six million, eight hundred thirty-five thousand, forty".