415484440 has 64 divisors (see below), whose sum is σ = 1071855360. Its totient is φ = 141989760.

The previous prime is 415484411. The next prime is 415484441. The reversal of 415484440 is 44484514.

It is a super-2 number, since 2×415484440² = 345254639764227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415484396 and 415484405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415484441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90439 + ... + 94921.

It is an arithmetic number, because the mean of its divisors is an integer number (16747740).

Almost surely, 2^415484440 is an apocalyptic number.

415484440 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 415484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535927680).

415484440 is an abundant number, since it is smaller than the sum of its proper divisors (656370920).

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

415484440 is a wasteful number, since it uses less digits than its factorization.

415484440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The square root of 415484440 is about 20383.4354317421. The cubic root of 415484440 is about 746.1937171072.

The spelling of 415484440 in words is "four hundred fifteen million, four hundred eighty-four thousand, four hundred forty".