411390720 has 432 divisors, whose sum is σ = 1593682272. Its totient is φ = 97320960.

The previous prime is 411390703. The next prime is 411390773. The reversal of 411390720 is 27093114.

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, 6140127 + ... + 6140193.

Almost surely, 2^411390720 is an apocalyptic number.

411390720 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 411390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796841136).

411390720 is an abundant number, since it is smaller than the sum of its proper divisors (1182291552).

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

411390720 is a wasteful number, since it uses less digits than its factorization.

411390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 411390720 is about 20282.7690417260. The cubic root of 411390720 is about 743.7349038199.

The spelling of 411390720 in words is "four hundred eleven million, three hundred ninety thousand, seven hundred twenty".