46029000 has 128 divisors (see below), whose sum is σ = 146390400. Its totient is φ = 12038400.

The previous prime is 46028993. The next prime is 46029007. The reversal of 46029000 is 92064.

46029000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46028993) and next prime (46029007).

It is not an unprimeable number, because it can be changed into a prime (46029007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200886 + ... + 201114.

It is an arithmetic number, because the mean of its divisors is an integer number (1143675).

Almost surely, 2^46029000 is an apocalyptic number.

46029000 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 46029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73195200).

46029000 is an abundant number, since it is smaller than the sum of its proper divisors (100361400).

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

46029000 is a wasteful number, since it uses less digits than its factorization.

46029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 46029000 is about 6784.4675546427. The cubic root of 46029000 is about 358.3800672176.

The spelling of 46029000 in words is "forty-six million, twenty-nine thousand".