415536440 has 128 divisors (see below), whose sum is σ = 1096182720. Its totient is φ = 140083200.

The previous prime is 415536419. The next prime is 415536463. The reversal of 415536440 is 44635514.

It is a junction number, because it is equal to n+sod(n) for n = 415536397 and 415536406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545660 + ... + 546420.

Almost surely, 2^415536440 is an apocalyptic number.

415536440 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 415536440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548091360).

415536440 is an abundant number, since it is smaller than the sum of its proper divisors (680646280).

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

415536440 is a wasteful number, since it uses less digits than its factorization.

415536440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 415536440 is about 20384.7109373668. The cubic root of 415536440 is about 746.2248457937.

The spelling of 415536440 in words is "four hundred fifteen million, five hundred thirty-six thousand, four hundred forty".