413125540 has 48 divisors (see below), whose sum is σ = 915546240. Its totient is φ = 156273920.

The previous prime is 413125519. The next prime is 413125541. The reversal of 413125540 is 45521314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413125541) 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, 35895 + ... + 45985.

It is an arithmetic number, because the mean of its divisors is an integer number (19073880).

Almost surely, 2^413125540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457773120).

413125540 is an abundant number, since it is smaller than the sum of its proper divisors (502420700).

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

413125540 is a wasteful number, since it uses less digits than its factorization.

413125540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 413125540 is about 20325.4899079948. The cubic root of 413125540 is about 744.7788722580.

Subtracting from 413125540 its product of nonzero digits (2400), we obtain a triangular number (413123140 = T₂₈₇₄₄).

Adding to 413125540 its reverse (45521314), we get a palindrome (458646854).

The spelling of 413125540 in words is "four hundred thirteen million, one hundred twenty-five thousand, five hundred forty".