411948360 has 48 divisors (see below), whose sum is σ = 1338833340. Its totient is φ = 109852800.

The previous prime is 411948349. The next prime is 411948371. The reversal of 411948360 is 63849114.

411948360 is a `hidden beast` number, since 4 + 119 + 483 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (411948349) and next prime (411948371).

It can be written as a sum of positive squares in 2 ways, for example, as 406667556 + 5280804 = 20166^2 + 2298^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571791 + ... + 572510.

Almost surely, 2^411948360 is an apocalyptic number.

411948360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411948360 is an abundant number, since it is smaller than the sum of its proper divisors (926884980).

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

411948360 is a wasteful number, since it uses less digits than its factorization.

411948360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144318 (or 1144311 counting only the distinct ones).

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

The square root of 411948360 is about 20296.5110302239. The cubic root of 411948360 is about 744.0707962461.

The spelling of 411948360 in words is "four hundred eleven million, nine hundred forty-eight thousand, three hundred sixty".