413542000 has 80 divisors (see below), whose sum is σ = 1058851872. Its totient is φ = 155673600.

The previous prime is 413541991. The next prime is 413542009. The reversal of 413542000 is 245314.

It is an interprime number because it is at equal distance from previous prime (413541991) and next prime (413542009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413542009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27919 + ... + 40081.

Almost surely, 2^413542000 is an apocalyptic number.

413542000 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 413542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529425936).

413542000 is an abundant number, since it is smaller than the sum of its proper divisors (645309872).

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

413542000 is a wasteful number, since it uses less digits than its factorization.

413542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12203 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 413542000 is about 20335.7320989435. The cubic root of 413542000 is about 745.0290516125.

Adding to 413542000 its reverse (245314), we get a palindrome (413787314).

The spelling of 413542000 in words is "four hundred thirteen million, five hundred forty-two thousand".