46305000 has 320 divisors, whose sum is σ = 187440000. Its totient is φ = 10584000.

The previous prime is 46304983. The next prime is 46305037. The reversal of 46305000 is 50364.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6614997 + ... + 6615003.

It is an arithmetic number, because the mean of its divisors is an integer number (585750).

Almost surely, 2^46305000 is an apocalyptic number.

46305000 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 46305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93720000).

46305000 is an abundant number, since it is smaller than the sum of its proper divisors (141135000).

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

46305000 is an equidigital number, since it uses as much as digits as its factorization.

46305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 46305000 is about 6804.7777333283. Note that the first 4 decimals coincide. The cubic root of 46305000 is about 359.0949488021.

Adding to 46305000 its reverse (50364), we get a palindrome (46355364).

The spelling of 46305000 in words is "forty-six million, three hundred five thousand".