413482440 has 128 divisors (see below), whose sum is σ = 1428399360. Its totient is φ = 93794304.

The previous prime is 413482423. The next prime is 413482441. The reversal of 413482440 is 44284314.

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 = 413482398 and 413482407.

It is not an unprimeable number, because it can be changed into a prime (413482441) 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, 113284 + ... + 116876.

It is an arithmetic number, because the mean of its divisors is an integer number (11159370).

Almost surely, 2^413482440 is an apocalyptic number.

413482440 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 413482440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714199680).

413482440 is an abundant number, since it is smaller than the sum of its proper divisors (1014916920).

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

413482440 is a wasteful number, since it uses less digits than its factorization.

413482440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 413482440 is about 20334.2676288083. The cubic root of 413482440 is about 744.9932825243.

The spelling of 413482440 in words is "four hundred thirteen million, four hundred eighty-two thousand, four hundred forty".