414531040 has 96 divisors (see below), whose sum is σ = 1221018624. Its totient is φ = 129200640.

The previous prime is 414530993. The next prime is 414531041. The reversal of 414531040 is 40135414.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414531041) 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, 4504 + ... + 29143.

It is an arithmetic number, because the mean of its divisors is an integer number (12718944).

Almost surely, 2^414531040 is an apocalyptic number.

414531040 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 414531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610509312).

414531040 is an abundant number, since it is smaller than the sum of its proper divisors (806487584).

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

414531040 is a wasteful number, since it uses less digits than its factorization.

414531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33680 (or 33672 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414531040 is about 20360.0353634270. The cubic root of 414531040 is about 745.6225236799.

Adding to 414531040 its reverse (40135414), we get a palindrome (454666454).

The spelling of 414531040 in words is "four hundred fourteen million, five hundred thirty-one thousand, forty".