415525240 has 128 divisors (see below), whose sum is σ = 1052352000. Its totient is φ = 146626560.

The previous prime is 415525189. The next prime is 415525241. The reversal of 415525240 is 42525514.

It is a super-2 number, since 2×415525240² = 345322450154115200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415525199 and 415525208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415525241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401794 + ... + 2401966.

It is an arithmetic number, because the mean of its divisors is an integer number (8221500).

Almost surely, 2^415525240 is an apocalyptic number.

415525240 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 415525240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176000).

415525240 is an abundant number, since it is smaller than the sum of its proper divisors (636826760).

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

415525240 is a wasteful number, since it uses less digits than its factorization.

415525240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 415525240 is about 20384.4362198222. The cubic root of 415525240 is about 746.2181413729.

The spelling of 415525240 in words is "four hundred fifteen million, five hundred twenty-five thousand, two hundred forty".