41473600 has 189 divisors, whose sum is σ = 124098177. Its totient is φ = 13601280.

The previous prime is 41473589. The next prime is 41473609. The reversal of 41473600 is 637414.

The square root of 41473600 is 6440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 26543104 = 3864^2 + 5152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41473609) 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 26 ways as a sum of consecutive naturals, for example, 1803189 + ... + 1803211.

Almost surely, 2^41473600 is an apocalyptic number.

41473600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41473600 is the 6440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41473600

41473600 is an abundant number, since it is smaller than the sum of its proper divisors (82624577).

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

41473600 is a wasteful number, since it uses less digits than its factorization.

41473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The cubic root of 41473600 is about 346.1443482041.

Multiplying 41473600 by its sum of digits (25), we get a square (1036840000 = 32200²).

41473600 divided by its sum of digits (25) gives a square (1658944 = 1288²).

It can be divided in two parts, 414 and 73600, that multiplied together give a square (30470400 = 5520²).

The spelling of 41473600 in words is "forty-one million, four hundred seventy-three thousand, six hundred".