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401674560 = 2635728539
BaseRepresentation
bin10111111100010…
…001000101000000
31000222211011220120
4113330101011000
51310312041220
6103505140240
712645114600
oct2774210500
91028734816
10401674560
1119680a051
12b262a680
13652a9871
143b4bcc00
15253e4a40
hex17f11140

401674560 has 168 divisors, whose sum is σ = 1483705440. Its totient is φ = 91800576.

The previous prime is 401674519. The next prime is 401674571. The reversal of 401674560 is 65476104.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×4016745602 = 322684904302387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42771 + ... + 51309.

It is an arithmetic number, because the mean of its divisors is an integer number (8831580).

Almost surely, 2401674560 is an apocalyptic number.

401674560 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 401674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741852720).

401674560 is an abundant number, since it is smaller than the sum of its proper divisors (1082030880).

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

401674560 is a wasteful number, since it uses less digits than its factorization.

401674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8573 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 401674560 is about 20041.8202766116. The cubic root of 401674560 is about 737.8330568839.

The spelling of 401674560 in words is "four hundred one million, six hundred seventy-four thousand, five hundred sixty".