411922560 has 128 divisors (see below), whose sum is σ = 1500624000. Its totient is φ = 94150656.

The previous prime is 411922543. The next prime is 411922579. The reversal of 411922560 is 65229114.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1885 + ... + 28764.

It is an arithmetic number, because the mean of its divisors is an integer number (11723625).

Almost surely, 2^411922560 is an apocalyptic number.

411922560 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 411922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750312000).

411922560 is an abundant number, since it is smaller than the sum of its proper divisors (1088701440).

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

411922560 is a wasteful number, since it uses less digits than its factorization.

411922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30678 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 411922560 is about 20295.8754430549. The cubic root of 411922560 is about 744.0552623999.

The spelling of 411922560 in words is "four hundred eleven million, nine hundred twenty-two thousand, five hundred sixty".