46575000 has 240 divisors, whose sum is σ = 170145360. Its totient is φ = 11880000.

The previous prime is 46574999. The next prime is 46575007. The reversal of 46575000 is 57564.

46575000 is a `hidden beast` number, since 4 + 657 + 5 + 0 + 0 + 0 = 666.

46575000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46575007) 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 59 ways as a sum of consecutive naturals, for example, 2024989 + ... + 2025011.

It is an arithmetic number, because the mean of its divisors is an integer number (708939).

Almost surely, 2^46575000 is an apocalyptic number.

46575000 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 46575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

46575000 is an abundant number, since it is smaller than the sum of its proper divisors (123570360).

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

46575000 is an equidigital number, since it uses as much as digits as its factorization.

46575000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 46575000 is about 6824.5878996464. The cubic root of 46575000 is about 359.7915459870.

The spelling of 46575000 in words is "forty-six million, five hundred seventy-five thousand".