46200834 has 64 divisors (see below), whose sum is σ = 106634880. Its totient is φ = 14817600.

The previous prime is 46200829. The next prime is 46200839. The reversal of 46200834 is 43800264.

46200834 is a `hidden beast` number, since 4 + 620 + 0 + 8 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (46200829) and next prime (46200839).

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

It is a junction number, because it is equal to n+sod(n) for n = 46200798 and 46200807.

It is not an unprimeable number, because it can be changed into a prime (46200839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234424 + ... + 234620.

It is an arithmetic number, because the mean of its divisors is an integer number (1666170).

Almost surely, 2^46200834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46200834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

46200834 is an abundant number, since it is smaller than the sum of its proper divisors (60434046).

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

46200834 is a wasteful number, since it uses less digits than its factorization.

46200834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46200834 is about 6797.1195369804. The cubic root of 46200834 is about 358.8254777716.

The spelling of 46200834 in words is "forty-six million, two hundred thousand, eight hundred thirty-four".