411949440 has 384 divisors, whose sum is σ = 1724224320. Its totient is φ = 88473600.

The previous prime is 411949403. The next prime is 411949459. The reversal of 411949440 is 44949114.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×411949440² = 339404682232627200, which contains 22 as substring.

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 = 411949395 and 411949404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685140 + ... + 685740.

Almost surely, 2^411949440 is an apocalyptic number.

411949440 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 411949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862112160).

411949440 is an abundant number, since it is smaller than the sum of its proper divisors (1312274880).

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

411949440 is a wasteful number, since it uses less digits than its factorization.

411949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 411949440 is about 20296.5376357644. The cubic root of 411949440 is about 744.0714464860.

The spelling of 411949440 in words is "four hundred eleven million, nine hundred forty-nine thousand, four hundred forty".