414434440 has 64 divisors (see below), whose sum is σ = 1076745600. Its totient is φ = 140617728.

The previous prime is 414434431. The next prime is 414434491. The reversal of 414434440 is 44434414.

It is a super-2 number, since 2×414434440² = 343511810116227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 414434399 and 414434408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19531 + ... + 34789.

It is an arithmetic number, because the mean of its divisors is an integer number (16824150).

Almost surely, 2^414434440 is an apocalyptic number.

414434440 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 414434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538372800).

414434440 is an abundant number, since it is smaller than the sum of its proper divisors (662311160).

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

414434440 is a wasteful number, since it uses less digits than its factorization.

414434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15374 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 414434440 is about 20357.6629307001. The cubic root of 414434440 is about 745.5646006099.

Adding to 414434440 its reverse (44434414), we get a palindrome (458868854).

The spelling of 414434440 in words is "four hundred fourteen million, four hundred thirty-four thousand, four hundred forty".