415448040 has 256 divisors, whose sum is σ = 1542758400. Its totient is φ = 87330816.

The previous prime is 415448027. The next prime is 415448041. The reversal of 415448040 is 40844514.

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 = 415447989 and 415448007.

It is not an unprimeable number, because it can be changed into a prime (415448041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670851 + ... + 671469.

It is an arithmetic number, because the mean of its divisors is an integer number (6026400).

Almost surely, 2^415448040 is an apocalyptic number.

415448040 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 415448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771379200).

415448040 is an abundant number, since it is smaller than the sum of its proper divisors (1127310360).

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

415448040 is a wasteful number, since it uses less digits than its factorization.

415448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 415448040 is about 20382.5425303126. The cubic root of 415448040 is about 746.1719254812.

The spelling of 415448040 in words is "four hundred fifteen million, four hundred forty-eight thousand, forty".