46411600 has 60 divisors (see below), whose sum is σ = 115377660. Its totient is φ = 17920000.

The previous prime is 46411559. The next prime is 46411601. The reversal of 46411600 is 611464.

It can be written as a sum of positive squares in 6 ways, for example, as 7772944 + 38638656 = 2788^2 + 6216^2 .

It is a super-2 number, since 2×46411600² = 4308073229120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46411601) 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 11 ways as a sum of consecutive naturals, for example, 9600 + ... + 13600.

It is an arithmetic number, because the mean of its divisors is an integer number (1922961).

Almost surely, 2^46411600 is an apocalyptic number.

46411600 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 46411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57688830).

46411600 is an abundant number, since it is smaller than the sum of its proper divisors (68966060).

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

46411600 is a wasteful number, since it uses less digits than its factorization.

46411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 46411600 is about 6812.6059624787. The cubic root of 46411600 is about 359.3702983632.

It can be divided in two parts, 4641 and 1600, that added together give a square (6241 = 79²).

The spelling of 46411600 in words is "forty-six million, four hundred eleven thousand, six hundred".