46005000 has 80 divisors (see below), whose sum is σ = 143766480. Its totient is φ = 12264000.

The previous prime is 46004999. The next prime is 46005013. The reversal of 46005000 is 50064.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13467 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (1797081).

Almost surely, 2^46005000 is an apocalyptic number.

46005000 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 46005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71883240).

46005000 is an abundant number, since it is smaller than the sum of its proper divisors (97761480).

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

46005000 is a wasteful number, since it uses less digits than its factorization.

46005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 46005000 is about 6782.6985779998. The cubic root of 46005000 is about 358.3177686888.

Adding to 46005000 its reverse (50064), we get a palindrome (46055064).

The spelling of 46005000 in words is "forty-six million, five thousand".