46546000 has 120 divisors (see below), whose sum is σ = 122476536. Its totient is φ = 17049600.

The previous prime is 46545979. The next prime is 46546007. The reversal of 46546000 is 64564.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6906384 + 39639616 = 2628^2 + 6296^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46546007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257982 + ... + 1258018.

Almost surely, 2^46546000 is an apocalyptic number.

46546000 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 46546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61238268).

46546000 is an abundant number, since it is smaller than the sum of its proper divisors (75930536).

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

46546000 is a wasteful number, since it uses less digits than its factorization.

46546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 46546000 is about 6822.4628983967. The cubic root of 46546000 is about 359.7168555511.

The spelling of 46546000 in words is "forty-six million, five hundred forty-six thousand".