413541400 has 48 divisors (see below), whose sum is σ = 962985240. Its totient is φ = 165158400.

The previous prime is 413541389. The next prime is 413541409. The reversal of 413541400 is 4145314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413541409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175027 + ... + 177373.

Almost surely, 2^413541400 is an apocalyptic number.

413541400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413541400 is an abundant number, since it is smaller than the sum of its proper divisors (549443840).

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

413541400 is a wasteful number, since it uses less digits than its factorization.

413541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 413541400 is about 20335.7173465801. The cubic root of 413541400 is about 745.0286912963.

Adding to 413541400 its reverse (4145314), we get a palindrome (417686714).

The spelling of 413541400 in words is "four hundred thirteen million, five hundred forty-one thousand, four hundred".