46361600 has 66 divisors (see below), whose sum is σ = 114984084. Its totient is φ = 18534400.

The previous prime is 46361597. The next prime is 46361603. The reversal of 46361600 is 616364.

It is an interprime number because it is at equal distance from previous prime (46361597) and next prime (46361603).

It is a self number, because there is not a number n which added to its sum of digits gives 46361600.

It is not an unprimeable number, because it can be changed into a prime (46361603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24695 + ... + 26505.

Almost surely, 2^46361600 is an apocalyptic number.

46361600 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 46361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57492042).

46361600 is an abundant number, since it is smaller than the sum of its proper divisors (68622484).

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

46361600 is a wasteful number, since it uses less digits than its factorization.

46361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 46361600 is about 6808.9353059050. The cubic root of 46361600 is about 359.2412000963.

Adding to 46361600 its reverse (616364), we get a palindrome (46977964).

The spelling of 46361600 in words is "forty-six million, three hundred sixty-one thousand, six hundred".