411055920 has 480 divisors, whose sum is σ = 1654608384. Its totient is φ = 90316800.

The previous prime is 411055907. The next prime is 411055933. The reversal of 411055920 is 29550114.

It is an interprime number because it is at equal distance from previous prime (411055907) and next prime (411055933).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5789485 + ... + 5789555.

Almost surely, 2^411055920 is an apocalyptic number.

411055920 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 411055920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

411055920 is an abundant number, since it is smaller than the sum of its proper divisors (1243552464).

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

411055920 is a wasteful number, since it uses less digits than its factorization.

411055920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 411055920 is about 20274.5140508965. The cubic root of 411055920 is about 743.5330924094.

The spelling of 411055920 in words is "four hundred eleven million, fifty-five thousand, nine hundred twenty".