415255440 has 160 divisors (see below), whose sum is σ = 1338057216. Its totient is φ = 106444800.

The previous prime is 415255439. The next prime is 415255441. The reversal of 415255440 is 44552514.

It is an interprime number because it is at equal distance from previous prime (415255439) and next prime (415255441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 415255398 and 415255407.

It is not an unprimeable number, because it can be changed into a prime (415255441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896649 + ... + 897111.

Almost surely, 2^415255440 is an apocalyptic number.

415255440 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 415255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669028608).

415255440 is an abundant number, since it is smaller than the sum of its proper divisors (922801776).

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

415255440 is a wasteful number, since it uses less digits than its factorization.

415255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 415255440 is about 20377.8173512278. The cubic root of 415255440 is about 746.0566002476.

The spelling of 415255440 in words is "four hundred fifteen million, two hundred fifty-five thousand, four hundred forty".