414397440 has 396 divisors, whose sum is σ = 1589315364. Its totient is φ = 99483648.

The previous prime is 414397427. The next prime is 414397469. The reversal of 414397440 is 44793414.

It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 175509504 = 15456^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 414397395 and 414397404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18017269 + ... + 18017291.

Almost surely, 2^414397440 is an apocalyptic number.

414397440 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 414397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794657682).

414397440 is an abundant number, since it is smaller than the sum of its proper divisors (1174917924).

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

414397440 is a wasteful number, since it uses less digits than its factorization.

414397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 414397440 is about 20356.7541617027. The cubic root of 414397440 is about 745.5424123709.

The spelling of 414397440 in words is "four hundred fourteen million, three hundred ninety-seven thousand, four hundred forty".