413425152 has 180 divisors, whose sum is σ = 1388734776. Its totient is φ = 118056960.

The previous prime is 413425151. The next prime is 413425153. The reversal of 413425152 is 251524314.

It is an interprime number because it is at equal distance from previous prime (413425151) and next prime (413425153).

It is a super-3 number, since 3×413425152³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413425151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224877 + ... + 226707.

Almost surely, 2^413425152 is an apocalyptic number.

413425152 is a gapful number since it is divisible by the number (42) 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 413425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694367388).

413425152 is an abundant number, since it is smaller than the sum of its proper divisors (975309624).

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

413425152 is a wasteful number, since it uses less digits than its factorization.

413425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1843 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 413425152 is about 20332.8589234274. The cubic root of 413425152 is about 744.9588746573.

Adding to 413425152 its reverse (251524314), we get a palindrome (664949466).

The spelling of 413425152 in words is "four hundred thirteen million, four hundred twenty-five thousand, one hundred fifty-two".