41460800 has 42 divisors (see below), whose sum is σ = 102023418. Its totient is φ = 16583680.

The previous prime is 41460791. The next prime is 41460823. The reversal of 41460800 is 806414.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3810304 + 37650496 = 1952^2 + 6136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11357 + ... + 14556.

It is an arithmetic number, because the mean of its divisors is an integer number (2429129).

Almost surely, 2^41460800 is an apocalyptic number.

41460800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41460800 is an abundant number, since it is smaller than the sum of its proper divisors (60562618).

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

41460800 is a wasteful number, since it uses less digits than its factorization.

41460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935 (or 25920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 41460800 is about 6439.0061344900. The cubic root of 41460800 is about 346.1087343554.

The spelling of 41460800 in words is "forty-one million, four hundred sixty thousand, eight hundred".