415229040 has 240 divisors, whose sum is σ = 1485619200. Its totient is φ = 103638528.

The previous prime is 415229039. The next prime is 415229041. The reversal of 415229040 is 40922514.

It is an interprime number because it is at equal distance from previous prime (415229039) and next prime (415229041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 415228995 and 415229013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415229041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737241 + ... + 1737479.

It is an arithmetic number, because the mean of its divisors is an integer number (6190080).

Almost surely, 2^415229040 is an apocalyptic number.

415229040 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 415229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742809600).

415229040 is an abundant number, since it is smaller than the sum of its proper divisors (1070390160).

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

415229040 is a wasteful number, since it uses less digits than its factorization.

415229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 415229040 is about 20377.1695777407. The cubic root of 415229040 is about 746.0407896487.

The spelling of 415229040 in words is "four hundred fifteen million, two hundred twenty-nine thousand, forty".